Bosonization approach is applied in solving the most general ;N= 1 supersymmetric Korteweg de-Vries equation with an arbitrary parameter a （sKdV-a） equation. By introducing some fermionic parameters in the expansion...Bosonization approach is applied in solving the most general ;N= 1 supersymmetric Korteweg de-Vries equation with an arbitrary parameter a （sKdV-a） equation. By introducing some fermionic parameters in the expansion of the superfield, the sKdV-a equation is transformed to a new coupled bosoNic system. The Lie point symmetries of this model are considered and similarity reductions of it are conducted. Several types of similarity reduction solutions of the coupled bosonie equations are simply obtained for all values of a, Some kinds of exact solutions of the sKdV-a equation are discussed which was not considered integrable previously.展开更多
The symmetry of the fermionic field is obtained by means of the Lax pair of the mKdV equation. A new super mKdV equation is constructed by virtue of the symmetry of the fermionic form. The super mKdV system is changed...The symmetry of the fermionic field is obtained by means of the Lax pair of the mKdV equation. A new super mKdV equation is constructed by virtue of the symmetry of the fermionic form. The super mKdV system is changed to a system of coupled bosonic equations with the bosonization approach. The bosonized SmKdV(BSmKdV)equation admits Painlevé property by the standard singularity analysis. The traveling wave solutions of the BSmKdV system are presented by the mapping and deformation method. We also provide other ideas to construct new super integrable systems.展开更多
The random-phase approximation(RPA)of interacting fermions is recast into a bosonized form and the RPA results are rederived by the standard bosonization method,which shows that there is a natural connection between b...The random-phase approximation(RPA)of interacting fermions is recast into a bosonized form and the RPA results are rederived by the standard bosonization method,which shows that there is a natural connection between bosonization and RPA.展开更多
A metallic disk with strong spin orbit interaction is investigated. The finite disk geometry introduces a confining potential. Due to the strong spin-orbit interaction and confining potential the metal disk is describ...A metallic disk with strong spin orbit interaction is investigated. The finite disk geometry introduces a confining potential. Due to the strong spin-orbit interaction and confining potential the metal disk is described by an effective one-dimensional model with a harmonic potential. The harmonic potential gives rise to classical turning points. As a result, open boundary conditions must be used. We bosonize the model and obtain chiral Bosons for each spin on the edge of the disk. When the filling fraction is reduced to the electron-electron interactions are studied by using the Jordan Wigner phase for composite fermions which give rise to a Luttinger liquid. When the metallic disk is in the proximity with a superconductor, a Fractional Topological Insulator is obtained. An experimental realization is proposed. We show that by tunning the chemical potential we control the classical turning points for which a Fractional Topological Insulator is realized.展开更多
We propose a novel extension of quantum field theory by introducing Intrinsic Quantum Oscillators (IQuO) to describe the internal degrees of freedom of a particle. IQuO is composed of sub-oscillators with semi-quanta ...We propose a novel extension of quantum field theory by introducing Intrinsic Quantum Oscillators (IQuO) to describe the internal degrees of freedom of a particle. IQuO is composed of sub-oscillators with semi-quanta and are described by creation operators and annihilation with two components each. In the interaction between two particles, thanks to the structure with semi-quants of an IQuO, it is possible to show that in the initial phase of a coupling between two particle-fields, a non-dynamic process of reduction from a non-local to a local state takes place. Besides, IQuO allows us to demonstrate a direct correlation between the two directions of phase rotation of the wave function of a particle and the two signs of its electric charge. This connection provides a new understanding of particle-antiparticle pair creation and their associated virtual boson fields. Finally, two distinct IQuO configurations, B-IQuO and F-IQuO, explain the fundamental difference between fermions and bosons.展开更多
In this second part of a study about quantum field oscillators with sub-oscillators and semi-quanta (IQuO), it is possible to show that in the initial phase of an interaction between two particles a no-dynamic process...In this second part of a study about quantum field oscillators with sub-oscillators and semi-quanta (IQuO), it is possible to show that in the initial phase of an interaction between two particles a no-dynamic process of reduction from a non-local to a local state takes place which cannot be described by Hamiltonian. We then describe the coupling of two IQuO of different particle-fields either at one point in space or at two distant points via an intermediary chain of coupled IQuO. The first aspect provides an understanding of the basic processes of creating and annihilating a pair. The second aspect describes the behaviour of two electrically charged particles through a process of phase shifts between the respective IQuO chains (CF1, CF2) implemented in a quantum entanglement via an intermediary chain (CB) of IQuO that originates changes in the direction of the two (CF1, CF2) distance-correlated ones. Thus, the semi-quanta structure of an IQuO and quantum entanglement identify the origin of the empirical law of attraction and repulsion between two electric charges.展开更多
We conduct a dynamical Gutzwiller mean-field study of interacting bosons on a four-leg ladder,subject to a uniform flux.The ground states dependent on the magnetic flux and kinetic tunneling strength are explored.Cons...We conduct a dynamical Gutzwiller mean-field study of interacting bosons on a four-leg ladder,subject to a uniform flux.The ground states dependent on the magnetic flux and kinetic tunneling strength are explored.Consequently,we identify the super-vortical lattice,as well as the inner-Meissner phase,which presents Meissner currents just along the intimal legs within the flux ladder.The staggered-current phase is also allowed,with its formation condition altered because of the four-leg construction.The number of legs on the flux ladder can make an effect.展开更多
QED(quantum electrodynamics)is the QFT(quantum field theory)describing the interaction between light and matter.While conventional QED is based on TEM(transverse electromagnetic)waves,there has been increasing interes...QED(quantum electrodynamics)is the QFT(quantum field theory)describing the interaction between light and matter.While conventional QED is based on TEM(transverse electromagnetic)waves,there has been increasing interest in the theoretical and experimental exploration of LSW(longitudinal scalar waves)solutions that are often omitted in CED(classical electrodynamics)but may have physical significance in nontrivial vacuum conditions.This paper delves into the theoretical foundation of LSW,their role in QED,and the associated mathematical equations governing their dynamics.展开更多
We investigate the parity-time(PT)symmetry-breaking quantum phase transition in a one-dimensional(1D)bosonic lattice featuring cavity-mediated long-range interactions and spatially staggered dissipation.By mapping the...We investigate the parity-time(PT)symmetry-breaking quantum phase transition in a one-dimensional(1D)bosonic lattice featuring cavity-mediated long-range interactions and spatially staggered dissipation.By mapping the system to an effective spin chain under the constraints of hard-core bosons and integrating the mean-field decoupling approach with biorthogonal basis formalism,we derive a self-consistency equation.Numerical simulation results validate that the derived equation quantitatively captures thePT-symmetry order parameter’s phase diagram.Our findings reveal that coherent hopping maintainsPTsymmetry through quantum fluctuations.Conversely,cavity-engineered long-range interactions,in synergy with staggered dissipation,act in opposition to drive symmetry breaking.This competitive interplay can inspire further exploration of tunable quantum phase transitions in non-Hermitian systems.展开更多
Quantum photonic processors are emerging as promising platforms to prove preliminary evidence of quantum computational advantage toward the realization of universal quantum computers.In the context of nonuniversal noi...Quantum photonic processors are emerging as promising platforms to prove preliminary evidence of quantum computational advantage toward the realization of universal quantum computers.In the context of nonuniversal noisy intermediate quantum devices,photonic-based sampling machines solving the Gaussian boson sampling(GBS)problem currently play a central role in the experimental demonstration of quantum computational advantage.A relevant issue is the validation of the sampling process in the presence of experimental noise,such as photon losses,which could undermine the hardness of simulating the experiment.We test the capability of a validation protocol that exploits the connection between GBS and graph perfect match counting to perform such an assessment in a noisy scenario.In particular,we use as a test bench the recently developed machine Borealis,a large-scale sampling machine that has been made available online for external users,and address its operation in the presence of noise.The employed approach to validation is also shown to provide connections with the open question on the effective advantage of using noisy GBS devices for graph similarity and isomorphism problems and thus provides an effective method for certification of quantum hardware.展开更多
基金Supported by the National Natural Science Foundation of China under Nos.11175092,11275123 and 10905038Scientific Research Fund of Zhejiang Provincial Education Department under Grant No.Y201017148K.C.Wong Magna Fund in Ningbo University
文摘Bosonization approach is applied in solving the most general ;N= 1 supersymmetric Korteweg de-Vries equation with an arbitrary parameter a （sKdV-a） equation. By introducing some fermionic parameters in the expansion of the superfield, the sKdV-a equation is transformed to a new coupled bosoNic system. The Lie point symmetries of this model are considered and similarity reductions of it are conducted. Several types of similarity reduction solutions of the coupled bosonie equations are simply obtained for all values of a, Some kinds of exact solutions of the sKdV-a equation are discussed which was not considered integrable previously.
基金Supported by the National Natural Science Foundation of China under Grant Nos.11775146,11435005,and 11472177Shanghai Knowledge Service Platform for Trustworthy Internet of Things under Grant No.ZF1213K.C.Wong Magna Fund in Ningbo University
文摘The symmetry of the fermionic field is obtained by means of the Lax pair of the mKdV equation. A new super mKdV equation is constructed by virtue of the symmetry of the fermionic form. The super mKdV system is changed to a system of coupled bosonic equations with the bosonization approach. The bosonized SmKdV(BSmKdV)equation admits Painlevé property by the standard singularity analysis. The traveling wave solutions of the BSmKdV system are presented by the mapping and deformation method. We also provide other ideas to construct new super integrable systems.
文摘The random-phase approximation(RPA)of interacting fermions is recast into a bosonized form and the RPA results are rederived by the standard bosonization method,which shows that there is a natural connection between bosonization and RPA.
文摘A metallic disk with strong spin orbit interaction is investigated. The finite disk geometry introduces a confining potential. Due to the strong spin-orbit interaction and confining potential the metal disk is described by an effective one-dimensional model with a harmonic potential. The harmonic potential gives rise to classical turning points. As a result, open boundary conditions must be used. We bosonize the model and obtain chiral Bosons for each spin on the edge of the disk. When the filling fraction is reduced to the electron-electron interactions are studied by using the Jordan Wigner phase for composite fermions which give rise to a Luttinger liquid. When the metallic disk is in the proximity with a superconductor, a Fractional Topological Insulator is obtained. An experimental realization is proposed. We show that by tunning the chemical potential we control the classical turning points for which a Fractional Topological Insulator is realized.
文摘We propose a novel extension of quantum field theory by introducing Intrinsic Quantum Oscillators (IQuO) to describe the internal degrees of freedom of a particle. IQuO is composed of sub-oscillators with semi-quanta and are described by creation operators and annihilation with two components each. In the interaction between two particles, thanks to the structure with semi-quants of an IQuO, it is possible to show that in the initial phase of a coupling between two particle-fields, a non-dynamic process of reduction from a non-local to a local state takes place. Besides, IQuO allows us to demonstrate a direct correlation between the two directions of phase rotation of the wave function of a particle and the two signs of its electric charge. This connection provides a new understanding of particle-antiparticle pair creation and their associated virtual boson fields. Finally, two distinct IQuO configurations, B-IQuO and F-IQuO, explain the fundamental difference between fermions and bosons.
文摘In this second part of a study about quantum field oscillators with sub-oscillators and semi-quanta (IQuO), it is possible to show that in the initial phase of an interaction between two particles a no-dynamic process of reduction from a non-local to a local state takes place which cannot be described by Hamiltonian. We then describe the coupling of two IQuO of different particle-fields either at one point in space or at two distant points via an intermediary chain of coupled IQuO. The first aspect provides an understanding of the basic processes of creating and annihilating a pair. The second aspect describes the behaviour of two electrically charged particles through a process of phase shifts between the respective IQuO chains (CF1, CF2) implemented in a quantum entanglement via an intermediary chain (CB) of IQuO that originates changes in the direction of the two (CF1, CF2) distance-correlated ones. Thus, the semi-quanta structure of an IQuO and quantum entanglement identify the origin of the empirical law of attraction and repulsion between two electric charges.
基金supported by the Scientific Research Foundation of Hainan Tropical Ocean University(Grant No.RHDRC202301)。
文摘We conduct a dynamical Gutzwiller mean-field study of interacting bosons on a four-leg ladder,subject to a uniform flux.The ground states dependent on the magnetic flux and kinetic tunneling strength are explored.Consequently,we identify the super-vortical lattice,as well as the inner-Meissner phase,which presents Meissner currents just along the intimal legs within the flux ladder.The staggered-current phase is also allowed,with its formation condition altered because of the four-leg construction.The number of legs on the flux ladder can make an effect.
文摘QED(quantum electrodynamics)is the QFT(quantum field theory)describing the interaction between light and matter.While conventional QED is based on TEM(transverse electromagnetic)waves,there has been increasing interest in the theoretical and experimental exploration of LSW(longitudinal scalar waves)solutions that are often omitted in CED(classical electrodynamics)but may have physical significance in nontrivial vacuum conditions.This paper delves into the theoretical foundation of LSW,their role in QED,and the associated mathematical equations governing their dynamics.
基金supported by the National Natural Science Foundation of China(Grant No.12375025).
文摘We investigate the parity-time(PT)symmetry-breaking quantum phase transition in a one-dimensional(1D)bosonic lattice featuring cavity-mediated long-range interactions and spatially staggered dissipation.By mapping the system to an effective spin chain under the constraints of hard-core bosons and integrating the mean-field decoupling approach with biorthogonal basis formalism,we derive a self-consistency equation.Numerical simulation results validate that the derived equation quantitatively captures thePT-symmetry order parameter’s phase diagram.Our findings reveal that coherent hopping maintainsPTsymmetry through quantum fluctuations.Conversely,cavity-engineered long-range interactions,in synergy with staggered dissipation,act in opposition to drive symmetry breaking.This competitive interplay can inspire further exploration of tunable quantum phase transitions in non-Hermitian systems.
基金supported by the ERC Advanced Grant QU-BOSS(QUantum advantage via nonlinear BOSon Sampling,Grant No.884676)by ICSC-Centro Nazionale di Ricerca in High Performance Computing,Big Data,and Quantum Computing,funded by the European Union-NextGenerationEU.D.S.acknowledges Thales Alenia Space Italia for supporting the PhD fellowship.N.S.acknowledges funding from Sapienza Universitàdi Roma via Bando Ricerca 2020:Progetti di Ricerca Piccoli,Project No.RP120172B8A36B37.
文摘Quantum photonic processors are emerging as promising platforms to prove preliminary evidence of quantum computational advantage toward the realization of universal quantum computers.In the context of nonuniversal noisy intermediate quantum devices,photonic-based sampling machines solving the Gaussian boson sampling(GBS)problem currently play a central role in the experimental demonstration of quantum computational advantage.A relevant issue is the validation of the sampling process in the presence of experimental noise,such as photon losses,which could undermine the hardness of simulating the experiment.We test the capability of a validation protocol that exploits the connection between GBS and graph perfect match counting to perform such an assessment in a noisy scenario.In particular,we use as a test bench the recently developed machine Borealis,a large-scale sampling machine that has been made available online for external users,and address its operation in the presence of noise.The employed approach to validation is also shown to provide connections with the open question on the effective advantage of using noisy GBS devices for graph similarity and isomorphism problems and thus provides an effective method for certification of quantum hardware.
