Microscopic origin of the quantum Mpemba effect in integrable systems
- URL: http://arxiv.org/abs/2310.04419v2
- Date: Mon, 1 Jul 2024 18:04:29 GMT
- Title: Microscopic origin of the quantum Mpemba effect in integrable systems
- Authors: Colin Rylands, Katja Klobas, Filiberto Ares, Pasquale Calabrese, Sara Murciano, Bruno Bertini,
- Abstract summary: Mpemba effect states that non-equilibrium states may relax faster when they are further from equilibrium.
We study a quantum version of the Mpemba effect that takes place in closed body systems with a U(1) conserved charge.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The highly complicated nature of far from equilibrium systems can lead to a complete breakdown of the physical intuition developed in equilibrium. A famous example of this is the Mpemba effect, which states that non-equilibrium states may relax faster when they are further from equilibrium or, put another way, hot water can freeze faster than warm water. Despite possessing a storied history, the precise criteria and mechanisms underpinning this phenomenon are still not known. Here we study a quantum version of the Mpemba effect that takes place in closed many body systems with a U(1) conserved charge: in certain cases a more asymmetric initial configuration relaxes and restores the symmetry faster than a more symmetric one. In contrast to the classical case, we establish the criteria for this to occur in arbitrary integrable quantum systems using the recently introduced entanglement asymmetry. We describe the quantum Mpemba effect in such systems and relate properties of the initial state, specifically its charge fluctuations, to the criteria for its occurrence. These criteria are expounded using exact analytic and numerical techniques in several examples, a free fermion model, the Rule 54 cellular automaton, and the Lieb-Liniger model.
Related papers
- Stability of Quantum Systems beyond Canonical Typicality [9.632520418947305]
We analyze the statistical distribution of a quantum system coupled strongly with a heat bath.
The stability of system distribution is largely affected by the system--bath interaction strength.
arXiv Detail & Related papers (2024-07-22T02:59:04Z) - Quantum Mpemba Effect in Random Circuits [0.0]
We study the quantum Mpemba effect in charge-preserving random circuits on qudits via entanglement asymmetry.
We show that the more asymmetric certain classes of initial states are, the faster they restore symmetry and reach the grand-canonical ensemble.
Our results represent a significant advancement in clarifying the emergence of Mpemba physics in generic systems.
arXiv Detail & Related papers (2024-05-23T12:51:54Z) - The quantum Mpemba effect in free-fermionic mixed states [0.0]
In certain scenarios, greater initial symmetry breaking leads to faster restoration, akin to a quantum Mpemba effect.
This study focuses on investigating the effect of mixed initial states and non-unitary dynamics on symmetry restoration.
arXiv Detail & Related papers (2024-05-14T19:07:25Z) - Multiple crossing during dynamical symmetry restoration and implications for the quantum Mpemba effect [0.0]
We show how, by tuning the initial state, the symmetry dynamics in free fermionic systems can display much richer behaviour than seen previously.
In particular, for certain classes of initial states, including ground states of free fermionic models with long-range couplings, the entanglement asymmetry can exhibit multiple crossings.
arXiv Detail & Related papers (2024-05-07T15:57:45Z) - Signatures of quantum phases in a dissipative system [13.23575512928342]
Lindbladian formalism has been all-pervasive to interpret non-equilibrium steady states of quantum many-body systems.
We study the fate of free fermionic and superconducting phases in a dissipative one-dimensional Kitaev model.
arXiv Detail & Related papers (2023-12-28T17:53:26Z) - Entanglement asymmetry and quantum Mpemba effect in the XY spin chain [0.0]
Entanglement asymmetry is a quantity introduced to measure how much a symmetry is broken in a part of an extended quantum system.
We study the entanglement asymmetry at equilibrium taking the ground state of the XY spin chain.
We find that the power law governing symmetry restoration depends discontinuously on whether the initial state is critical or not.
arXiv Detail & Related papers (2023-10-11T14:10:53Z) - Persistent non-Gaussian correlations in out-of-equilibrium Rydberg atom arrays [0.0]
We present a mechanism by which an initial state of a Rydberg atom array can retain persistent non-Gaussian correlations following a global quench.
These long-lived non-Gaussian states may have practical applications as quantum memories or stable resources for quantum-information protocols.
arXiv Detail & Related papers (2023-06-21T12:07:45Z) - Indication of critical scaling in time during the relaxation of an open
quantum system [34.82692226532414]
Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields.
Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
arXiv Detail & Related papers (2022-08-10T05:59:14Z) - Late-time critical behavior of local string-like observables under
quantum quenches [12.815619486162594]
In recent times it has been observed that signatures of equilibrium quantum criticality surprisingly show up in many-body systems far from equilibrium.
We develop a method to probe ground state critical physics through nonequilibrium post-quench dynamics.
Our results can also be used to explain critical signatures in post-quench domain formation, seen in a recent experiment with trapped ion quantum simulators.
arXiv Detail & Related papers (2022-04-30T08:35:11Z) - Exact many-body scars and their stability in constrained quantum chains [55.41644538483948]
Quantum scars are non-thermal eigenstates characterized by low entanglement entropy.
We study the response of these exact quantum scars to perturbations by analysing the scaling of the fidelity susceptibility with system size.
arXiv Detail & Related papers (2020-11-16T19:05:50Z) - Influence of equilibrium and nonequilibrium environments on macroscopic
realism through the Leggett-Garg inequalities [14.326275827081577]
We study the macroscopic realism (macrorealism) through the two- and three-time Leggett-Garg inequalities (LGIs) in a two interacting qubits system.
We study both how the equilibrium and nonequilibrium environments influence the LGIs.
arXiv Detail & Related papers (2020-01-25T20:20:56Z)
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.