BACKGROUND Hepatocellular carcinoma(HCC)ranks among the most prevalent and deadly malignancies,characterized by a high recurrence rate.Regulator of chromosome condensation 1(RCC1)serves as a principal guanine nucleoti...BACKGROUND Hepatocellular carcinoma(HCC)ranks among the most prevalent and deadly malignancies,characterized by a high recurrence rate.Regulator of chromosome condensation 1(RCC1)serves as a principal guanine nucleotide exchange factor for ras-related nuclear protein guanosine triphosphatase(GTPase)and is implicated in various cancers.However,the role of RCC1 in HCC remains unex-plored.AIM To elucidate the functional significance and molecular mechanisms of RCC1 in HCC.METHODS Bioinformatics were to examine the expression levels of RCC1 in HCC and to assess its impact on the prognosis of this malignancy.The cell counting kit-8 assay and flow cytometry were utilized to evaluate the cell viability and cell cycle of HCC cells.Furthermore,quantitative reverse transcription and immunoblotting were to investigate the influence of RCC1 on cyclin associated proteins.RESULTS Bioinformatics analysis revealed that RCC1 was highly expressed in HCC and correlated with poor prognosis in HCC patients.Functional studies showed that RCC1 overexpression promoted the malignant phenotype of HCC cells,especially the proliferation of HCC cells,whereas RCC1 knockdown had the opposite effect.Mechanistically,we identied cell division cycle-associated(CDCA)8 as a downstream target of RCC1 in HCC.RCC1 overexpression markedly increased CDCA8 levels,consequently enhancing cell proliferation and survival in HCC cells.Additionally,we discovered that RCC1 contributed to the development and progression of HCC by activating the phosphoinositide 3-kinase/protein kinase B/cyclin-dependent kinase inhibitor 1a pathway through CDCA8.CONCLUSION Our study provides profound insights into the pivotal role of RCC1 in HCC and its potential as a therapeutic target.展开更多
This letter reports the synthesis of Schiff base calix[4]arene crowns containing m-xylylene phenol subunit, in which calix[4]arene Schiff base crowns 2a, 2b and 2c were formed by 1:1 condensation of calix[4]arene diam...This letter reports the synthesis of Schiff base calix[4]arene crowns containing m-xylylene phenol subunit, in which calix[4]arene Schiff base crowns 2a, 2b and 2c were formed by 1:1 condensation of calix[4]arene diamine 1 with dialdehydes (2, 6-diformyl-4-chlorophenol 3a, 2, 6-diformyl-4-methylphenol 3b, 2, 6-diformyl-4-tert-butylphenol 3c) under high dilute condition in refluxing anhydrous ethanol in 65-70% yield.展开更多
One-pot condensation of 2-aminothiophenol or 1,2-phenylenediamine with different aldehydes has been catalyzed by hexamethylenetetramine-bromine（HMTA-Bromine） as new,available and effective catalyst.2-Arylbenzo thiaz...One-pot condensation of 2-aminothiophenol or 1,2-phenylenediamine with different aldehydes has been catalyzed by hexamethylenetetramine-bromine（HMTA-Bromine） as new,available and effective catalyst.2-Arylbenzo thiazoles and 2-aryl benzimidazoles have been achieved in excellent yield and good purity.展开更多
We investigate the topological excitations of rotating spin-1 ferromagnetic Bose–Einstein condensates with spin–orbit coupling(SOC)in an in-plane quadrupole field.Such a system sustains a rich variety of exotic vort...We investigate the topological excitations of rotating spin-1 ferromagnetic Bose–Einstein condensates with spin–orbit coupling(SOC)in an in-plane quadrupole field.Such a system sustains a rich variety of exotic vortex structures due to the spinor order parameter and the interplay among in-plane quadrupole field,SOC,rotation,and interatomic interaction.For the nonrotating case,with the increase of the quadrupole field strength,the system experiences a transition from a coreless polar-core vortex with a bright soliton to a singular polar-core vortex with a density hole.Without rotation but with a fixed quadrupole field,when the SOC strength increases,the system transforms from a central Mermin–Ho vortex into a criss-crossed vortex–antivortex string lattice.For the rotating case,we give a phase diagram with respect to the quadrupole field strength and the SOC strength.It is shown that the rotating system supports four typical quantum phases:vortex necklace,diagonal vortex chain cluster,single diagonal vortex chain,and few vortex states.Furthermore,the system favors novel spin textures and skyrmion excitations including an antiskyrmion,a criss-crossed half-skyrmion–half-antiskyrmion lattice,a skyrmion-meron necklace,a symmetric half-skyrmion lattice,and an asymmetric skyrmionmeron lattice.展开更多
The dynamics of the weak non//near matter sofitary waves in a spin-1 condensates with harmonic external potential are investigated analytically by a perturbation method. It is shown that, in the small amplitude limit,...The dynamics of the weak non//near matter sofitary waves in a spin-1 condensates with harmonic external potential are investigated analytically by a perturbation method. It is shown that, in the small amplitude limit, the dynamics of the solitary waves are governed by a variable-coetficient Korteweg-de Vries （KdV） equation. The reduction to the （KdV） equation may be useful to understand the dynamics of nonlinear matter waves in spinor BECs. The analytical expressions for the evolution of soliton show that the small-amplitude vector solitons of the mixed types perform harmonic oscillations in the presence of the trap. Furthermore, the emitted radiation profiles and the soliton oscillation frequency are also obtained.展开更多
We consider a spin-1 Bose-Einstein condensate trapped in a harmonic potential with different nonlinearity coeffi- cients. We illustrate the dynamics of soliton breathers in two-component and three-component states by ...We consider a spin-1 Bose-Einstein condensate trapped in a harmonic potential with different nonlinearity coeffi- cients. We illustrate the dynamics of soliton breathers in two-component and three-component states by numerically solv- ing the one-dimensional time-dependent coupled Gross-Pitaecskii equations （GPEs）. We present that two condensates with repulsive interspecies interactions make elastic collision and novel soliton breathers are created in two-component state. We also demonstrate novel soliton breathers in three-component state with attractive coupling constants. Furthermore, possible reasons for creating soliton breathers are discussed.展开更多
We study analytically and numerically the nonlinear collective dynamics of quasi-one-dimensional spin-orbit coupled spin-1 Bose-Einstein condensates trapped in harmonic potential.The ground state of the system is dete...We study analytically and numerically the nonlinear collective dynamics of quasi-one-dimensional spin-orbit coupled spin-1 Bose-Einstein condensates trapped in harmonic potential.The ground state of the system is determined by minimizing the Lagrange density,and the coupled equations of motions for the center-of-mass coordinate of the condensate and its width are derived.Then,two low energy excitation modes in breathing dynamics and dipole dynamics are obtained analytically,and the mechanism of exciting the anharmonic collective dynamics is revealed explicitly.The coupling among spin-orbit coupling,Raman coupling and spin-dependent interaction results in multiple external collective modes,which leads to the anharmonic collective dynamics.The cooperative effect of spin momentum locking and spin-dependent interaction results in coupling of dipolar and breathing dynamics,which strongly depends on spin-dependent interaction and behaves distinct characters in different phases.Interestingly,in the absence of spin-dependent interaction,the breathing dynamics is decoupled from spin dynamics and the breathing dynamics is harmonic.Our results provide theoretical evidence for deep understanding of the ground sate phase transition and the nonlinear collective dynamics of the system.展开更多
Mono-substituted heterocyclic ketene aminals are formed by the reaction of 1-methyl-2-methylthio-imidazoline with active methylene compounds containinq an acetyl or benzoyl group by the elimination of both a methylthi...Mono-substituted heterocyclic ketene aminals are formed by the reaction of 1-methyl-2-methylthio-imidazoline with active methylene compounds containinq an acetyl or benzoyl group by the elimination of both a methylthio and an acyl group.This is resulted by the secondary reactio of the produced methanethiol to attack the more active carbonyl group.展开更多
Many genes associated with reproduction show rapid evolution across diverse animal groups, a result commonly due to adaptive evolution driven by positive selection （Swanson and Vacquier, 2002）. Different theories ha...Many genes associated with reproduction show rapid evolution across diverse animal groups, a result commonly due to adaptive evolution driven by positive selection （Swanson and Vacquier, 2002）. Different theories have been proposed to explain the elevated rates of evolution （Swanson and Vacquier, 2002）, including sperm competition, where sperm compete to fertilize eggs leading to the proteins in the sper- matozoa adaptively evolving to increase their ability to fertilize eggs; sexual conflict, where the egg experiences a loss of fitness when sperm are too abundant; sexual selection, where eggs bind sperm carrying adaptive alleles （Palumbi, 1999）; and cryptic female choice （reviewed in Swanson and Vacquier, 2002）.展开更多
The geometrical dimensions of the rough structures as well as the non-condensable gases in the vapor mixture can have the great effect on the nucleation position and the wetting state of the droplet,which further infl...The geometrical dimensions of the rough structures as well as the non-condensable gases in the vapor mixture can have the great effect on the nucleation position and the wetting state of the droplet,which further influence the condensation heat flux.In this paper,the multispecies multiphase lattice Boltzmann method together with a thermal phase change model is used to investigate the dropwise condensation on a rough surface enhanced with pillars.The effect of the geometric dimensions including pillar height H,pillar width W and pillar space S is investigated.Then the effect of non-condensable gases on the contact angle of a droplet on textured surface is studied.The results show that the local heat flux and the wetting area are higher while the waiting time is shorter at larger S,W and smaller H on the rough surface.The nucleation position rises from the bottom of grooves to the top with the increase of pillar height and the decrease of pillar space.The contact angle is larger and it is easier to maintain the Cassie state for droplet.When there exists non-condensable gas,the non-condensable gas obviously enhances the hydrophobicity of the rough surfaces compared with pure vapor.展开更多
Root architecture is one of the most important agronomic traits that determines rice crop yield. The primary root(PR) absorbs mineral nutrients and provides mechanical support;however, the molecular mechanisms of PR e...Root architecture is one of the most important agronomic traits that determines rice crop yield. The primary root(PR) absorbs mineral nutrients and provides mechanical support;however, the molecular mechanisms of PR elongation remain unclear in rice. Here, the two loss-of-function T-DNA insertion mutants of root length regulator 4(Os RLR4), osrlr4-1 and osrlr4-2 with longer PR, and three Os RLR4 overexpression lines, OE-Os RLR4-1/-2/-3 with shorter PR compared to the wild type/Hwayoung(WT/HY), were identified. Os RLR4 isone of five members of the PRAF subfamily of the regulator chromosome condensation1(RCC1) family. Phylogenetic analysis of Os RLR4 from wild and cultivated rice indicated that it is under selective sweeps, suggesting its potential role in domestication. Os RLR4 controls PR development by regulating auxin accumulation in the PR tip and thus the root apical meristem activity. A series of biochemical and genetic analyses demonstrated that Os RLR4 functions directly upstream of the auxin transporter Os AUX1. Moreover, Os RLR4 interacts with the TRITHORAX-like protein Os Trx1 to promote H3 K4 me3 deposition at the Os AUX1 promoter, thus altering its transcription level. This work provides insight into the cooperation of auxin and epigenetic modifications in regulating root architecture and provides a genetic resource for plant architecture breeding.展开更多
The homotopy analysis method and Galerkin spectral method are applied to find the analytical solutions for the Gross-Pitaevskii equations, a set of nonlinear SchrSdinger equation used in simulation of spin-1 Bose-Eins...The homotopy analysis method and Galerkin spectral method are applied to find the analytical solutions for the Gross-Pitaevskii equations, a set of nonlinear SchrSdinger equation used in simulation of spin-1 Bose-Einstein condensates trapped in a harmonic potential. We investigate the one-dimensional case and get the approximate analytical solutions successfully. Comparisons between the analytical solutions and the numerical solutions have been made. The results indicate that they are in agreement well with each other when the atomic interaction is weakly. We also find a class of exact solutions for the stationary states of the spin-1 system with harmonic potential for a special case.展开更多
Atom interferometer has been proven to be a powerful tool for precision metrology. Here we propose a cavity-aided nonlinear atom interferometer, based on the quasi-periodic spin mixing dynamics of an atomic spin-1 Bos...Atom interferometer has been proven to be a powerful tool for precision metrology. Here we propose a cavity-aided nonlinear atom interferometer, based on the quasi-periodic spin mixing dynamics of an atomic spin-1 Bose−Einstein condensate trapped in an optical cavity. We unravel that the phase sensitivity can be greatly enhanced with the cavity-mediated nonlinear interaction. The influence of encoding phase, splitting time and recombining time on phase sensitivity are carefully studied. In addition, we demonstrate a dynamical phase transition in the system. Around the criticality, a small cavity light field variation can arouse a strong response of the atomic condensate, which can serve as a new resource for enhanced sensing. This work provides a robust protocol for cavity-enhanced metrology.展开更多
基金Supported by the National Natural Science Foundation of China,No.82002940 and No.82203336Shaanxi Natural Science Foundation,No.2023-JC-YB-166.
文摘BACKGROUND Hepatocellular carcinoma(HCC)ranks among the most prevalent and deadly malignancies,characterized by a high recurrence rate.Regulator of chromosome condensation 1(RCC1)serves as a principal guanine nucleotide exchange factor for ras-related nuclear protein guanosine triphosphatase(GTPase)and is implicated in various cancers.However,the role of RCC1 in HCC remains unex-plored.AIM To elucidate the functional significance and molecular mechanisms of RCC1 in HCC.METHODS Bioinformatics were to examine the expression levels of RCC1 in HCC and to assess its impact on the prognosis of this malignancy.The cell counting kit-8 assay and flow cytometry were utilized to evaluate the cell viability and cell cycle of HCC cells.Furthermore,quantitative reverse transcription and immunoblotting were to investigate the influence of RCC1 on cyclin associated proteins.RESULTS Bioinformatics analysis revealed that RCC1 was highly expressed in HCC and correlated with poor prognosis in HCC patients.Functional studies showed that RCC1 overexpression promoted the malignant phenotype of HCC cells,especially the proliferation of HCC cells,whereas RCC1 knockdown had the opposite effect.Mechanistically,we identied cell division cycle-associated(CDCA)8 as a downstream target of RCC1 in HCC.RCC1 overexpression markedly increased CDCA8 levels,consequently enhancing cell proliferation and survival in HCC cells.Additionally,we discovered that RCC1 contributed to the development and progression of HCC by activating the phosphoinositide 3-kinase/protein kinase B/cyclin-dependent kinase inhibitor 1a pathway through CDCA8.CONCLUSION Our study provides profound insights into the pivotal role of RCC1 in HCC and its potential as a therapeutic target.
文摘This letter reports the synthesis of Schiff base calix[4]arene crowns containing m-xylylene phenol subunit, in which calix[4]arene Schiff base crowns 2a, 2b and 2c were formed by 1:1 condensation of calix[4]arene diamine 1 with dialdehydes (2, 6-diformyl-4-chlorophenol 3a, 2, 6-diformyl-4-methylphenol 3b, 2, 6-diformyl-4-tert-butylphenol 3c) under high dilute condition in refluxing anhydrous ethanol in 65-70% yield.
文摘One-pot condensation of 2-aminothiophenol or 1,2-phenylenediamine with different aldehydes has been catalyzed by hexamethylenetetramine-bromine（HMTA-Bromine） as new,available and effective catalyst.2-Arylbenzo thiazoles and 2-aryl benzimidazoles have been achieved in excellent yield and good purity.
基金This work was supported by the National Natural Science Foundation of China(Grant Nos.11475144 and 11047033)the Natural Science Foundation of Hebei Province(Grant Nos.A2022203001,A2019203049 and A2015203037)+2 种基金Innovation Capability Improvement Project of Hebei province(Grant No.22567605H)Shanxi Education Department Fund(Grant No.2020L0546)Research Foundation of Yanshan University(Grant No.B846).
文摘We investigate the topological excitations of rotating spin-1 ferromagnetic Bose–Einstein condensates with spin–orbit coupling(SOC)in an in-plane quadrupole field.Such a system sustains a rich variety of exotic vortex structures due to the spinor order parameter and the interplay among in-plane quadrupole field,SOC,rotation,and interatomic interaction.For the nonrotating case,with the increase of the quadrupole field strength,the system experiences a transition from a coreless polar-core vortex with a bright soliton to a singular polar-core vortex with a density hole.Without rotation but with a fixed quadrupole field,when the SOC strength increases,the system transforms from a central Mermin–Ho vortex into a criss-crossed vortex–antivortex string lattice.For the rotating case,we give a phase diagram with respect to the quadrupole field strength and the SOC strength.It is shown that the rotating system supports four typical quantum phases:vortex necklace,diagonal vortex chain cluster,single diagonal vortex chain,and few vortex states.Furthermore,the system favors novel spin textures and skyrmion excitations including an antiskyrmion,a criss-crossed half-skyrmion–half-antiskyrmion lattice,a skyrmion-meron necklace,a symmetric half-skyrmion lattice,and an asymmetric skyrmionmeron lattice.
基金Supported by the National Natural Science Foundation of China under Grant Nos.10774120 and 10975114the Natural Science Foundation of Gansu Province under Grant No.1010RJZA012Natural Science Foundation of Northwest Normal University under Grant No.NWNU-KJCXGC-03-48
文摘The dynamics of the weak non//near matter sofitary waves in a spin-1 condensates with harmonic external potential are investigated analytically by a perturbation method. It is shown that, in the small amplitude limit, the dynamics of the solitary waves are governed by a variable-coetficient Korteweg-de Vries （KdV） equation. The reduction to the （KdV） equation may be useful to understand the dynamics of nonlinear matter waves in spinor BECs. The analytical expressions for the evolution of soliton show that the small-amplitude vector solitons of the mixed types perform harmonic oscillations in the presence of the trap. Furthermore, the emitted radiation profiles and the soliton oscillation frequency are also obtained.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11271158 and 11174108)
文摘We consider a spin-1 Bose-Einstein condensate trapped in a harmonic potential with different nonlinearity coeffi- cients. We illustrate the dynamics of soliton breathers in two-component and three-component states by numerically solv- ing the one-dimensional time-dependent coupled Gross-Pitaecskii equations （GPEs）. We present that two condensates with repulsive interspecies interactions make elastic collision and novel soliton breathers are created in two-component state. We also demonstrate novel soliton breathers in three-component state with attractive coupling constants. Furthermore, possible reasons for creating soliton breathers are discussed.
基金supported by the National Natural Science Foundation of China(Grant Nos.12164042,12264045,11764039,11475027,11865014,12104374,and 11847304)the Natural Science Foundation of Gansu Province(Grant Nos.17JR5RA076 and 20JR5RA526)+2 种基金the Scientific Research Project of Gansu Higher Education(Grant No.2016A-005)the Innovation Capability Enhancement Project of Gansu Higher Education(Grant Nos.2020A-146 and 2019A-014)the Creation of Science and Technology of Northwest Normal University(Grant No.NWNU-LKQN-18-33)。
文摘We study analytically and numerically the nonlinear collective dynamics of quasi-one-dimensional spin-orbit coupled spin-1 Bose-Einstein condensates trapped in harmonic potential.The ground state of the system is determined by minimizing the Lagrange density,and the coupled equations of motions for the center-of-mass coordinate of the condensate and its width are derived.Then,two low energy excitation modes in breathing dynamics and dipole dynamics are obtained analytically,and the mechanism of exciting the anharmonic collective dynamics is revealed explicitly.The coupling among spin-orbit coupling,Raman coupling and spin-dependent interaction results in multiple external collective modes,which leads to the anharmonic collective dynamics.The cooperative effect of spin momentum locking and spin-dependent interaction results in coupling of dipolar and breathing dynamics,which strongly depends on spin-dependent interaction and behaves distinct characters in different phases.Interestingly,in the absence of spin-dependent interaction,the breathing dynamics is decoupled from spin dynamics and the breathing dynamics is harmonic.Our results provide theoretical evidence for deep understanding of the ground sate phase transition and the nonlinear collective dynamics of the system.
文摘Mono-substituted heterocyclic ketene aminals are formed by the reaction of 1-methyl-2-methylthio-imidazoline with active methylene compounds containinq an acetyl or benzoyl group by the elimination of both a methylthio and an acyl group.This is resulted by the secondary reactio of the produced methanethiol to attack the more active carbonyl group.
基金supported by the grant from the National Natural Science Foundation of China(No.31061160189)
文摘Many genes associated with reproduction show rapid evolution across diverse animal groups, a result commonly due to adaptive evolution driven by positive selection （Swanson and Vacquier, 2002）. Different theories have been proposed to explain the elevated rates of evolution （Swanson and Vacquier, 2002）, including sperm competition, where sperm compete to fertilize eggs leading to the proteins in the sper- matozoa adaptively evolving to increase their ability to fertilize eggs; sexual conflict, where the egg experiences a loss of fitness when sperm are too abundant; sexual selection, where eggs bind sperm carrying adaptive alleles （Palumbi, 1999）; and cryptic female choice （reviewed in Swanson and Vacquier, 2002）.
基金supported by the National Natural Science Foundation of China(grant number:51906190)China Postdoctoral Science Foundation(2019M663702)+1 种基金Fundamental Research Funds for the Central Universities(xjh012019015)innovation team of Shaanxi province(2019TD-039)。
文摘The geometrical dimensions of the rough structures as well as the non-condensable gases in the vapor mixture can have the great effect on the nucleation position and the wetting state of the droplet,which further influence the condensation heat flux.In this paper,the multispecies multiphase lattice Boltzmann method together with a thermal phase change model is used to investigate the dropwise condensation on a rough surface enhanced with pillars.The effect of the geometric dimensions including pillar height H,pillar width W and pillar space S is investigated.Then the effect of non-condensable gases on the contact angle of a droplet on textured surface is studied.The results show that the local heat flux and the wetting area are higher while the waiting time is shorter at larger S,W and smaller H on the rough surface.The nucleation position rises from the bottom of grooves to the top with the increase of pillar height and the decrease of pillar space.The contact angle is larger and it is easier to maintain the Cassie state for droplet.When there exists non-condensable gas,the non-condensable gas obviously enhances the hydrophobicity of the rough surfaces compared with pure vapor.
基金funded by grants from the National Natural Science Foundation of China(32060451)the Zhejiang Provincial Natural Science Foundation of China(Grant No.LZ19C020001)+2 种基金Inner Mongolia Applied Technology Research and Development Foundation to Y.H.Q.the National Natural Science Foundation of China(31801064)to D.M.L.grants from the Swiss National Funds(31003A-165877/1)to M.G.
文摘Root architecture is one of the most important agronomic traits that determines rice crop yield. The primary root(PR) absorbs mineral nutrients and provides mechanical support;however, the molecular mechanisms of PR elongation remain unclear in rice. Here, the two loss-of-function T-DNA insertion mutants of root length regulator 4(Os RLR4), osrlr4-1 and osrlr4-2 with longer PR, and three Os RLR4 overexpression lines, OE-Os RLR4-1/-2/-3 with shorter PR compared to the wild type/Hwayoung(WT/HY), were identified. Os RLR4 isone of five members of the PRAF subfamily of the regulator chromosome condensation1(RCC1) family. Phylogenetic analysis of Os RLR4 from wild and cultivated rice indicated that it is under selective sweeps, suggesting its potential role in domestication. Os RLR4 controls PR development by regulating auxin accumulation in the PR tip and thus the root apical meristem activity. A series of biochemical and genetic analyses demonstrated that Os RLR4 functions directly upstream of the auxin transporter Os AUX1. Moreover, Os RLR4 interacts with the TRITHORAX-like protein Os Trx1 to promote H3 K4 me3 deposition at the Os AUX1 promoter, thus altering its transcription level. This work provides insight into the cooperation of auxin and epigenetic modifications in regulating root architecture and provides a genetic resource for plant architecture breeding.
基金Acknowledgements This work was supported by the National Natural Science Foundation of China under Grant No. 11047010.
文摘The homotopy analysis method and Galerkin spectral method are applied to find the analytical solutions for the Gross-Pitaevskii equations, a set of nonlinear SchrSdinger equation used in simulation of spin-1 Bose-Einstein condensates trapped in a harmonic potential. We investigate the one-dimensional case and get the approximate analytical solutions successfully. Comparisons between the analytical solutions and the numerical solutions have been made. The results indicate that they are in agreement well with each other when the atomic interaction is weakly. We also find a class of exact solutions for the stationary states of the spin-1 system with harmonic potential for a special case.
文摘Atom interferometer has been proven to be a powerful tool for precision metrology. Here we propose a cavity-aided nonlinear atom interferometer, based on the quasi-periodic spin mixing dynamics of an atomic spin-1 Bose−Einstein condensate trapped in an optical cavity. We unravel that the phase sensitivity can be greatly enhanced with the cavity-mediated nonlinear interaction. The influence of encoding phase, splitting time and recombining time on phase sensitivity are carefully studied. In addition, we demonstrate a dynamical phase transition in the system. Around the criticality, a small cavity light field variation can arouse a strong response of the atomic condensate, which can serve as a new resource for enhanced sensing. This work provides a robust protocol for cavity-enhanced metrology.
