Relaxation of Multitime Statistics in Quantum Systems
- URL: http://arxiv.org/abs/2108.07420v4
- Date: Fri, 26 May 2023 06:53:04 GMT
- Title: Relaxation of Multitime Statistics in Quantum Systems
- Authors: Neil Dowling, Pedro Figueroa-Romero, Felix A. Pollock, Philipp
Strasberg, Kavan Modi
- Abstract summary: We show that most multitime observables for sufficiently large times cannot distinguish a nonequilibrium process from an equilibrium one.
A corollary of our results is that the size of non-Markovianity and other multitime characteristics of a nonequilibrium process also equilibrate.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Equilibrium statistical mechanics provides powerful tools to understand
physics at the macroscale. Yet, the question remains how this can be justified
based on a microscopic quantum description. Here, we extend the ideas of pure
state quantum statistical mechanics, which focus on single time statistics, to
show the equilibration of isolated quantum processes. Namely, we show that most
multitime observables for sufficiently large times cannot distinguish a
nonequilibrium process from an equilibrium one, unless the system is probed for
an extremely large number of times or the observable is particularly
fine-grained. A corollary of our results is that the size of non-Markovianity
and other multitime characteristics of a nonequilibrium process also
equilibrate.
Related papers
- Stable infinite-temperature eigenstates in SU(2)-symmetric nonintegrable models [0.0]
A class of nonintegrable bond-staggered models is endowed with a large number of zero-energy eigenstates and possesses a non-Abelian internal symmetry.
We show that few-magnon zero-energy states have an exact analytical description, allowing us to build a basis of low-entangled fixed-separation states.
arXiv Detail & Related papers (2024-07-16T17:48:47Z) - Spectral chaos bounds from scaling theory of maximally efficient
quantum-dynamical scrambling [49.1574468325115]
A key conjecture about the evolution of complex quantum systems towards an ergodic steady state, known as scrambling, is that this process acquires universal features when it is most efficient.
We develop a single- parameter scaling theory for the spectral statistics in this scenario, which embodies exact self-similarity of the spectral correlations along the complete scrambling dynamics.
We establish that scaling predictions are matched by a privileged process, and serve as bounds for other dynamical scrambling scenarios, allowing one to quantify inefficient or incomplete scrambling on all timescales.
arXiv Detail & Related papers (2023-10-17T15:41:50Z) - Observable Statistical Mechanics [0.0]
We present Observable Statistical Mechanics, a novel paradigm that shifts attention from the full quantum state to the statistics of measurement outcomes.
This approach is grounded in the Maximum Observable Entropy Principle, positing that equilibrium measurement statistics tend to maximize observable entropy under conserved average energy.
arXiv Detail & Related papers (2023-09-26T18:18:39Z) - Continuously Monitored Quantum Systems beyond Lindblad Dynamics [68.8204255655161]
We study the probability distribution of the expectation value of a given observable over the possible quantum trajectories.
The measurements are applied to the entire system, having the effect of projecting the system into a product state.
arXiv Detail & Related papers (2023-05-06T18:09:17Z) - Universality of critical dynamics with finite entanglement [68.8204255655161]
We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement.
Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
arXiv Detail & Related papers (2023-01-23T19:23:54Z) - Equilibration of Non-Markovian Quantum Processes in Finite Time
Intervals [0.0]
Quantum processes are shown, within finite time intervals and for finite dimensional time Hamiltonians, to be close to a corresponding stationary equilibrium process.
This dictates conditions on time scales at when the multitime statistics of any arbitrary non-equilibrium quantum process look equilibrium on average.
arXiv Detail & Related papers (2021-12-02T10:18:36Z) - Non-equilibrium stationary states of quantum non-Hermitian lattice
models [68.8204255655161]
We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner.
We focus on the quantum steady states of such models for both fermionic and bosonic systems.
arXiv Detail & Related papers (2021-03-02T18:56:44Z) - Thermalization of isolated quantum many-body system and the role of entanglement [1.0485739694839669]
We show that entanglement may act as a thermalizing agent, not universally but particularly.
In particular, we show that the expectation values of an observable in entangled energy eigenstates and its marginals are equivalent to the microcanonical and canonical averages of the observable.
arXiv Detail & Related papers (2020-09-22T09:37:38Z) - Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states.
Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
arXiv Detail & Related papers (2020-07-23T19:05:56Z) - Entropic Uncertainty Relations and the Quantum-to-Classical transition [77.34726150561087]
We aim to shed some light on the quantum-to-classical transition as seen through the analysis of uncertainty relations.
We employ entropic uncertainty relations to show that it is only by the inclusion of imprecision in our model of macroscopic measurements that we can prepare a system with two simultaneously well-defined quantities.
arXiv Detail & Related papers (2020-03-04T14:01:17Z)
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.