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.
