Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium
- URL: http://arxiv.org/abs/2308.03878v5
- Date: Mon, 16 Sep 2024 02:53:07 GMT
- Title: Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium
- Authors: Kyle Lee, James Mulligan, Felix Ringer, Xiaojun Yao,
- Abstract summary: We consider the string-breaking dynamics within the Schwinger model and investigate its modification inside a thermal medium.
We analyze the Liouvillian gaps of a Lindblad equation and the time dependence of the system's von Neumann entropy.
We discuss how the Liouvillian dynamics of the open Schwinger model can be simulated on quantum computers.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Understanding the dynamics of bound state formation is one of the fundamental questions in confining quantum field theories such as Quantum Chromodynamics (QCD). One hadronization mechanism that has garnered significant attention is the breaking of a string initially connecting a fermion and an anti-fermion. Deepening our understanding of real-time string-breaking dynamics with simpler, lower dimensional models like the Schwinger model can improve our understanding of the hadronization process in QCD and other confining systems found in condensed matter and statistical systems. In this paper, we consider the string-breaking dynamics within the Schwinger model and investigate its modification inside a thermal medium, treating the Schwinger model as an open quantum system coupled to a thermal environment. Within the regime of weak coupling between the system and environment, the real-time evolution of the system can be described by a Lindblad evolution equation. We analyze the Liouvillian gaps of this Lindblad equation and the time dependence of the system's von Neumann entropy. We observe that the late-time relaxation rate decreases as the environment correlation length increases. Moreover, when the environment correlation length is infinite, the system exhibits two steady states, one in each of the sectors with definite charge-conjugation-parity (CP) quantum numbers. For parameter regimes where an initial string breaks in vacuum, we observe a delay of the string breaking in the medium, due to kinetic dissipation effects. Conversely, in regimes where an initial string remains intact in vacuum time evolution, we observe string breaking (melting) in the thermal medium. We further discuss how the Liouvillian dynamics of the open Schwinger model can be simulated on quantum computers and provide an estimate of the associated Trotter errors.
Related papers
- 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) - 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) - 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) - 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) - 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) - Quantum critical systems with dissipative boundaries [0.0]
We study the effects of dissipative boundaries in many-body systems at continuous quantum transitions.
As paradigmatic models, we consider fermionic wires subject to dissipative interactions at the boundaries.
arXiv Detail & Related papers (2021-06-04T15:08:06Z) - Influence functional of many-body systems: temporal entanglement and
matrix-product state representation [0.0]
Feynman-Vernon influence functional (IF) was originally introduced to describe the effect of a quantum environment on the dynamics of an open quantum system.
We apply the IF approach to describe quantum many-body dynamics in isolated spin systems.
arXiv Detail & Related papers (2021-03-25T10:41:15Z) - Particle mixing and the emergence of classicality: A
spontaneous-collapse-model view [0.0]
We show that spontaneous collapse can induce the decay dynamics in both quantum state and master equations.
We show that the decay property of a flavor-oscillating system is intimately connected to the time (a)symmetry of the noise field underlying the collapse mechanism.
arXiv Detail & Related papers (2020-08-25T16:07:59Z) - Generation of coherence in an exactly solvable nonlinear nanomechanical
system [1.0775419935941009]
This study is focused on the quantum dynamics of a nitrogen-vacancy center coupled to a nonlinear, periodically driven mechanical oscillator.
We observe that the production of coherence through a unitary transformation depends on whether the system is prepared initially in mixed state.
We prove that quantum chaos and diminishing of information about the mixed initial state favors the generation of quantum coherence through the unitary evolution.
arXiv Detail & Related papers (2020-08-19T17:32:16Z) - 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) - 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.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.