Periodically refreshed baths to simulate open quantum many-body dynamics
- URL: http://arxiv.org/abs/2012.10236v3
- Date: Sun, 4 Jul 2021 16:34:20 GMT
- Title: Periodically refreshed baths to simulate open quantum many-body dynamics
- Authors: Archak Purkayastha, Giacomo Guarnieri, Steve Campbell, Javier Prior,
John Goold
- Abstract summary: We show how finite-time evolution in presence of finite-sized baths can be used to faithfully reconstruct the exact dynamics without requiring any small parameter.
We specifically demonstrate this by obtaining the full numerically exact non-Markovian dynamics of interacting fermionic chains in two terminal set-ups with finite temperature and voltage biases.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Obtaining dynamics of an interacting quantum many-body system connected to
multiple baths initially at different, finite, temperatures and chemical
potentials is a challenging problem. This is due to a combination of the
prevalence of strong correlations in the system, the infinite nature of the
baths and the long time to reach steady state. In this work we develop a
general formalism that allows access to the full non-Markovian dynamics of such
open quantum many-body systems up to the non-equilibrium steady state (NESS),
provided its uniqueness. Specifically, we show how finite-time evolution in
presence of finite-sized baths, whose opportune size is determined by their
original spectral density, can be recursively used to faithfully reconstruct
the exact dynamics without requiring any small parameter. Such a reconstruction
is possible even in parameter regimes which would otherwise be inaccessible by
current state-of-the-art techniques. We specifically demonstrate this by
obtaining the full numerically exact non-Markovian dynamics of interacting
fermionic chains in two terminal set-ups with finite temperature and voltage
biases, a problem which previously remained outstanding despite its relevance
in a wide range of contexts, for example, quantum heat engines and
refrigerators.
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) - Emergence of fluctuating hydrodynamics in chaotic quantum systems [47.187609203210705]
macroscopic fluctuation theory (MFT) was recently developed to model the hydrodynamics of fluctuations.
We perform large-scale quantum simulations that monitor the full counting statistics of particle-number fluctuations in boson ladders.
Our results suggest that large-scale fluctuations of isolated quantum systems display emergent hydrodynamic behavior.
arXiv Detail & Related papers (2023-06-20T11:26:30Z) - Impossibility of bosonic autonomous entanglement engines in the
weak-coupling limit [3.4137115855910767]
Entangled states are fragile and maintaining coherence is a central challenge in quantum information processing.
We show that a unique steady state is always separable.
arXiv Detail & Related papers (2022-12-26T22:09:54Z) - Dynamics with autoregressive neural quantum states: application to
critical quench dynamics [41.94295877935867]
We present an alternative general scheme that enables one to capture long-time dynamics of quantum systems in a stable fashion.
We apply the scheme to time-dependent quench dynamics by investigating the Kibble-Zurek mechanism in the two-dimensional quantum Ising model.
arXiv Detail & Related papers (2022-09-07T15:50:00Z) - Solvable model of deep thermalization with distinct design times [0.0]
We study the emergence over time of a universal, uniform distribution of quantum states supported on a finite subsystem.
This phenomenon represents a form of equilibration in quantum many-body systems stronger than regular thermalization.
We present an exactly-solvable model of chaotic dynamics where the two processes can be shown to occur over different time scales.
arXiv Detail & Related papers (2022-08-22T18:43:45Z) - Growth of entanglement of generic states under dual-unitary dynamics [77.34726150561087]
Dual-unitary circuits are a class of locally-interacting quantum many-body systems.
In particular, they admit a class of solvable" initial states for which, in the thermodynamic limit, one can access the full non-equilibrium dynamics.
We show that in this case the entanglement increment during a time step is sub-maximal for finite times, however, it approaches the maximal value in the infinite-time limit.
arXiv Detail & Related papers (2022-07-29T18:20:09Z) - Emergent pair localization in a many-body quantum spin system [0.0]
Generically, non-integrable quantum systems are expected to thermalize as they comply with the Eigenstate Thermalization Hypothesis.
In the presence of strong disorder, the dynamics can possibly slow down to a degree that systems fail to thermalize on experimentally accessible timescales.
We study an ensemble of Heisenberg spins with a tunable distribution of random coupling strengths realized by a Rydberg quantum simulator.
arXiv Detail & Related papers (2022-07-28T16:31:18Z) - Relaxation to a Parity-Time Symmetric Generalized Gibbs Ensemble after a
Quantum Quench in a Driven-Dissipative Kitaev Chain [0.0]
We show that relaxation of driven-dissipative systems after a quantum quench can be determined by a maximum entropy ensemble.
We show that these results apply to broad classes of noninteracting fermionic models.
arXiv Detail & Related papers (2022-03-28T08:59:58Z) - Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems.
This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state.
Our results explain finite-time thermalization in chaotic open quantum systems.
arXiv Detail & Related papers (2021-12-14T18:48:31Z) - Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
Quantum-body systems display rich phase structure in their low-temperature equilibrium states.
We experimentally observe an eigenstate-ordered DTC on superconducting qubits.
Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
arXiv Detail & Related papers (2021-07-28T18:00:03Z) - Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas.
Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit.
The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
arXiv Detail & Related papers (2020-08-05T18:00:26Z)
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.