Zero-energy modes localized at the ends of one-dimensional(1D)wires hold great potential as qubits for fault-tolerant quantum computing.However,all the candidates known to date exhibit a wave function that decays expo...Zero-energy modes localized at the ends of one-dimensional(1D)wires hold great potential as qubits for fault-tolerant quantum computing.However,all the candidates known to date exhibit a wave function that decays exponentially into the bulk and hybridizes with other nearby zero-modes,thus hampering their use for braiding operations.Here,we show that a quasi-1D diamond-necklace chain exhibits an unforeseen type of robust boundary state,namely compact localized zero-energy modes that do not decay into the bulk.We find that this state emerges due to the presence of a latent symmetry in the system.We experimentally realize the diamond-necklace chain in an electronic quantum simulator setup.展开更多
One of the foremost objectives of statistical mechanics is the description of the thermodynamic properties of quantum gases.Despite the great importance of this topic,such achievement is still lacking in the case of n...One of the foremost objectives of statistical mechanics is the description of the thermodynamic properties of quantum gases.Despite the great importance of this topic,such achievement is still lacking in the case of non-Hermitian quantum gases.Here,we investigate the properties of bosonic and fermionic non-Hermitian systems at finite temperatures.We show that non-Hermitian systems exhibit oscillations both in temperature and imaginary time.As such,they can be a possible platform to realize an imaginary time crystal(iTC)phase.The Hatano-Nelson model is identified as a simple lattice model to reveal this effect.In addition,we show that the conditions for the iTC to be manifest are the same as the conditions for the presence of disorder points,where the correlation functions show oscillating behavior.This analysis makes clear that our realization of an iTC is effectively a way to filter one specific Matsubara mode.In this realization,the Matsubara frequency,which usually appears as a mathematical tool to compute correlation functions at finite temperatures,can be measured experimentally.展开更多
基金financial support from the European Research Council(Horizon 2020“FRACTAL”,865570)the Dutch Research Council(grant 16PR3245)+2 种基金the research program“Materials for the Quantum Age”(QuMat)for financial supportThis program(registration number 024.005.006)is part of the Gravitation program financed by the Dutch Ministry of Education,Culture and Science(OCW)funding provided by Shanghai Jiao Tong University.
文摘Zero-energy modes localized at the ends of one-dimensional(1D)wires hold great potential as qubits for fault-tolerant quantum computing.However,all the candidates known to date exhibit a wave function that decays exponentially into the bulk and hybridizes with other nearby zero-modes,thus hampering their use for braiding operations.Here,we show that a quasi-1D diamond-necklace chain exhibits an unforeseen type of robust boundary state,namely compact localized zero-energy modes that do not decay into the bulk.We find that this state emerges due to the presence of a latent symmetry in the system.We experimentally realize the diamond-necklace chain in an electronic quantum simulator setup.
基金funding from the Brazilian Coordination for the Improvement of Higher Education Personnel(CAPES),from the Brazilian National Council for Research and Development(CNPq),from the Delta Institute for Theoretical Physics(DITP)consortium,a program of the Netherlands Organization for Scientific Research(NWO)by the Knut and Alice Wallenberg Foundation through the Wallenberg Academy Fellows programsupported in part by CNPq,FAPERJ and CAPES.
文摘One of the foremost objectives of statistical mechanics is the description of the thermodynamic properties of quantum gases.Despite the great importance of this topic,such achievement is still lacking in the case of non-Hermitian quantum gases.Here,we investigate the properties of bosonic and fermionic non-Hermitian systems at finite temperatures.We show that non-Hermitian systems exhibit oscillations both in temperature and imaginary time.As such,they can be a possible platform to realize an imaginary time crystal(iTC)phase.The Hatano-Nelson model is identified as a simple lattice model to reveal this effect.In addition,we show that the conditions for the iTC to be manifest are the same as the conditions for the presence of disorder points,where the correlation functions show oscillating behavior.This analysis makes clear that our realization of an iTC is effectively a way to filter one specific Matsubara mode.In this realization,the Matsubara frequency,which usually appears as a mathematical tool to compute correlation functions at finite temperatures,can be measured experimentally.
