Related papers: Imaginary-Temperature Zeros for Quantum Phase Transitions

Imaginary-Temperature Zeros for Quantum Phase Transitions

URL: http://arxiv.org/abs/2310.05531v1
Date: Mon, 9 Oct 2023 08:52:48 GMT
Title: Imaginary-Temperature Zeros for Quantum Phase Transitions
Authors: Jinghu Liu, Shuai Yin, Li Chen
Abstract summary: We introduce the concept of Imaginary-Temperature Zeros (ITZs) by calculating the zeros of the imaginary-temperature partition function. We find that ITZs are distributed in sectorial structures, accompanied by universal singular behaviors for such quantities as the edge density of ITZs and the magnetization.
Score: 7.95781815307432
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: While the zeros of complex partition functions, such as Lee-Yang zeros and Fisher zeros, have been instrumental in characterizing temperature-driven phase transitions, the extension of this concept to zero temperature remains an open and active topic. In this paper, we introduce the concept of Imaginary-Temperature Zeros (ITZs) by calculating the zeros of the imaginary-temperature partition function. We delve into the properties of ITZs for the transverse-field Ising chain, and find that the ITZs are distributed in sectorial structures, accompanied by universal singular behaviors for such quantities as the edge density of ITZs and the magnetization. These singularities remarkably differ from those in the Lee-Yang theory, and are demonstrated to be intimately related to quantum criticality and the Ising critical exponents. We further illuminate the correspondence between ITZs and the zeros of the spectrum form factor, which offers a practical way for detecting ITZs and zero-temperature phase transitions through quantum dynamics.

Related papers

Confinement in 1+1D $\mathbb{Z}_2$ Lattice Gauge Theories at Finite Temperature [0.0]
We study confinement in a simple one-dimensional $mathbbZ$ lattice gauge theory at finite temperature and filling. Our results shed new light on confinement at finite temperature from an experimentally relevant standpoint.
arXiv Detail & Related papers (2023-08-16T18:00:01Z)
Signatures of quantum criticality in the complex inverse temperature plane [7.628970142172651]
We identify different Fisher zeros on lines or closed curves and elucidate their correspondence with domain-wall excitations or confined mesons for the one-dimensional transverse field Ising model. The crossover behavior of the Fisher zeros provides a fascinating picture for criticality near the quantum phase transition. Our results unambiguously show significant features of Fisher zeros for a quantum phase transition and open up a new route to explore quantum criticality.
arXiv Detail & Related papers (2022-11-02T01:22:28Z)
Fisher zeroes and the fluctuations of the spectral form factor of chaotic systems [0.0]
We study a modified model of random energy levels in which we introduce level repulsion. We also check that the mechanism giving rise to spikes is the same in the SYK model.
arXiv Detail & Related papers (2022-07-06T06:40:41Z)
Complex analysis of divergent perturbation theory at finite temperature [9.101810188833934]
We show that zeros of the partition function lead to poles in the internal energy and logarithmic singularities in the Helmholtz free energy. Analysing these zeros reveals that the radius of convergence increases for higher temperatures.
arXiv Detail & Related papers (2022-03-04T15:31:09Z)
Exact thermal properties of free-fermionic spin chains [68.8204255655161]
We focus on spin chain models that admit a description in terms of free fermions. Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
arXiv Detail & Related papers (2021-03-30T13:15:44Z)
Determination of the critical exponents in dissipative phase transitions: Coherent anomaly approach [51.819912248960804]
We propose a generalization of the coherent anomaly method to extract the critical exponents of a phase transition occurring in the steady-state of an open quantum many-body system.
arXiv Detail & Related papers (2021-03-12T13:16:18Z)
Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature [62.997667081978825]
We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
arXiv Detail & Related papers (2021-01-21T14:33:34Z)
Adiabatic Sensing Technique for Optimal Temperature Estimation using Trapped Ions [64.31011847952006]
We propose an adiabatic method for optimal phonon temperature estimation using trapped ions. The relevant information of the phonon thermal distributions can be transferred to the collective spin-degree of freedom. We show that each of the thermal state probabilities is adiabatically mapped onto the respective collective spin-excitation configuration.
arXiv Detail & Related papers (2020-12-16T12:58:08Z)
Superradiant phase transition in complex networks [62.997667081978825]
We consider a superradiant phase transition problem for the Dicke-Ising model. We examine regular, random, and scale-free network structures.
arXiv Detail & Related papers (2020-12-05T17:40:53Z)
Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
arXiv Detail & Related papers (2020-07-20T18:00:02Z)

This list is automatically generated from the titles and abstracts of the papers in this site.