Dynamical Correlation of the Post-quench Non-thermal Equilibrium State
- URL: http://arxiv.org/abs/2601.06987v1
- Date: Sun, 11 Jan 2026 16:48:03 GMT
- Title: Dynamical Correlation of the Post-quench Non-thermal Equilibrium State
- Authors: Yang-Yang Chen, Song Cheng,
- Abstract summary: After a quantum quench, the integrable system is expected to relax to a non-thermal equilibrium state (NTES)<n>We compute the field-field correlation in the NTES produced by an interaction quench of the Lieb-Liniger model.
- Score: 4.191878023389402
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: After a quantum quench, the integrable system is expected to relax to a non-thermal equilibrium state (NTES) whose local properties are believed to be governed by a generalized Gibbs ensemble (GGE). Combining quench action and the form factor approach, we compute the field-field correlation in the NTES produced by an interaction quench of the Lieb-Liniger model. The spectral distribution is shown to be qualitatively different from that of a thermal equilibrium state (TES): a new dispersion branch appears whose microscopic mechanism can be traced to the algebraic decaying tail for the root density distribution function, and indicates the existence of a broader family of NTES featuring similar spectral property.
Related papers
- Eigenstate Thermalization and Spectral Imprints of the Hamiltonian in Local Observables [1.4474137122906165]
Eigenstate Thermalization Hypothesis explains thermalization in isolated quantum systems.<n>We investigate the crossover from integrability to chaos in the spin-$1/2$ XXZ chain.<n>By introducing a local perturbation that drives the system from integrability to chaos, we track the standard ETH indicators and the eigenstate entanglement entropy.
arXiv Detail & Related papers (2026-01-14T10:15:50Z) - Coherence Dispersion and Temperature Scales in a Quantum-Biology Toy Model [51.56484100374058]
We investigate how quantum coherence can scatter among the several off-diagonal elements of an arbitrary quantum state.<n>By focusing on out-of-equilibrium systems, we use the developed framework to address a simplified model of cellular energetics.
arXiv Detail & Related papers (2025-12-13T14:21:34Z) - Average entanglement entropy of a small subsystem in a constrained pure Gaussian state ensemble [0.43695508295565777]
We consider ensembles of pure Gaussian states parametrized by single-mode marginals and specific mode-mode correlations.<n>We show that the average entanglement entropy of a small subsystem is the same as the von Neumann entropy of a mixed Gaussian state with the same marginals, but no correlations.
arXiv Detail & Related papers (2025-05-06T17:03:29Z) - Scaling of Stochastic Normalizing Flows in $\mathrm{SU}(3)$ lattice gauge theory [44.99833362998488]
Non-equilibrium Markov Chain Monte Carlo simulations provide a well-understood framework based on Jarzynski's equality to sample from a target probability distribution.<n>Out-of-equilibrium evolutions share the same framework of flow-based approaches and they can be naturally combined into a novel architecture called Normalizing Flows (SNFs)<n>We present the first implementation of SNFs for $mathrmSU(3)$ lattice gauge theory in 4 dimensions, defined by introducing gauge-equivariant layers between out-of-equilibrium Monte Carlo updates.
arXiv Detail & Related papers (2024-11-29T19:01:05Z) - Hessian-Informed Flow Matching [4.542719108171107]
Hessian-Informed Flow Matching is a novel approach that integrates the Hessian of an energy function into conditional flows.
This integration allows HI-FM to account for local curvature and anisotropic covariance structures.
Empirical evaluations on the MNIST and Lennard-Jones particles datasets demonstrate that HI-FM improves the likelihood of test samples.
arXiv Detail & Related papers (2024-10-15T09:34:52Z) - Bethe-ansatz diagonalization of steady state of boundary driven integrable spin chains [1.995329933855084]
We find that the density operator of non-equilibrium steady state (NESS) of XXZ spin chain can be described in terms of quasiparticles, with renormalized -- dissipatively dressed -- dispersion relation.<n>The dissipative dressing generates an extra singularity in the dispersion relation, which strongly modifies the NESS spectrum with respect to the spectrum of the corresponding coherent model.
arXiv Detail & Related papers (2024-08-17T22:28:34Z) - Diagnosing Thermalization via Participation Ratio in Disordered Bosonic Chains [3.1457219084519004]
We study thermalization in a disordered bosonic system described by the Aubry-Andre model using full exact diagonalization.<n>We find a broad chaotic energy window where the system's eigenstates satisfy the Eigenstate Thermalization Hypothesis (ETH), demonstrated by the smooth energy dependence of observables like entanglement entropy and local particle number.<n>Dynamically, we investigate the equilibration of initial Fock states and find that thermalization is not universal.
arXiv Detail & Related papers (2024-07-05T19:00:02Z) - Dilute neutron star matter from neural-network quantum states [58.720142291102135]
Low-density neutron matter is characterized by the formation of Cooper pairs and the onset of superfluidity.
We model this density regime by capitalizing on the expressivity of the hidden-nucleon neural-network quantum states combined with variational Monte Carlo and reconfiguration techniques.
arXiv Detail & Related papers (2022-12-08T17:55:25Z) - Thermal equilibrium in Gaussian dynamical semigroups [77.34726150561087]
We characterize all Gaussian dynamical semigroups in continuous variables quantum systems of n-bosonic modes which have a thermal Gibbs state as a stationary solution.
We also show that Alicki's quantum detailed-balance condition, based on a Gelfand-Naimark-Segal inner product, allows the determination of the temperature dependence of the diffusion and dissipation matrices.
arXiv Detail & Related papers (2022-07-11T19:32:17Z) - 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) - Out-of-time-order correlations and the fine structure of eigenstate
thermalisation [58.720142291102135]
Out-of-time-orderors (OTOCs) have become established as a tool to characterise quantum information dynamics and thermalisation.
We show explicitly that the OTOC is indeed a precise tool to explore the fine details of the Eigenstate Thermalisation Hypothesis (ETH)
We provide an estimation of the finite-size scaling of $omega_textrmGOE$ for the general class of observables composed of sums of local operators in the infinite-temperature regime.
arXiv Detail & Related papers (2021-03-01T17:51:46Z) - Out-of-equilibrium quantum thermodynamics in the Bloch sphere:
temperature and internal entropy production [68.8204255655161]
An explicit expression for the temperature of an open two-level quantum system is obtained.
This temperature coincides with the environment temperature if the system reaches thermal equilibrium with a heat reservoir.
We show that within this theoretical framework the total entropy production can be partitioned into two contributions.
arXiv Detail & Related papers (2020-04-09T23:06:43Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.