Temperature-Induced Disorder-Free Localization
- URL: http://arxiv.org/abs/2206.11273v1
- Date: Wed, 22 Jun 2022 18:00:01 GMT
- Title: Temperature-Induced Disorder-Free Localization
- Authors: Jad C. Halimeh, Philipp Hauke, Johannes Knolle, Fabian Grusdt
- Abstract summary: Disorder-free localization is a paradigm of strong ergodicity breaking that has been shown to occur in global quenches of lattice gauge theories.
We show that preparing the system in a thermal Gibbs ensemble without any coherences between different gauge sectors also gives rise to disorder-free localization.
Our work expands the realm of disorder-free localization into finite-temperature physics, and shows counterintuitively that certain quantum nonergodic phenomena can become more prominent at high temperature.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Disorder-free localization is a paradigm of strong ergodicity breaking that
has been shown to occur in global quenches of lattice gauge theories when the
system is initialized in a superposition over an extensive number of gauge
sectors. Here, we show that preparing the system in a thermal Gibbs ensemble
without any coherences between different gauge sectors also gives rise to
disorder-free localization, with temperature acting as a disorder strength. We
demonstrate our findings by calculating the quench dynamics of the imbalance of
thermal ensembles in both $\mathrm{U}(1)$ and $\mathbb{Z}_2$ lattice gauge
theories through exact diagonalization, showing greater localization with
increasing ensemble temperature. Furthermore, we show how adding terms linear
in local pseudogenerators can enhance temperature-induced disorder-free
localization due to the dynamical emergence of an enriched local symmetry. Our
work expands the realm of disorder-free localization into finite-temperature
physics, and shows counterintuitively that certain quantum nonergodic phenomena
can become more prominent at high temperature. We discuss the accessibility of
our conclusions in current quantum simulation and computing platforms.
Related papers
- Exponentially slow thermalization and the robustness of Hilbert space
fragmentation [3.074411226628252]
We study how thermalization occurs in situations where the constraints are not exact.
For product states quenched under Hamiltonian dynamics, we numerically observe an exponentially long thermalization time.
Slow thermalization in this model is shown to be a consequence of strong bottlenecks in configuration space.
arXiv Detail & Related papers (2024-01-20T18:40:20Z) - Confinement in 1+1D $\mathbb{Z}_2$ Lattice Gauge Theories at Finite Temperature [0.0]
We study confinement in a simple one-dimensional $mathbbZ$ lattice gauge theory at finite temperature and filling.
Our results shed new light on confinement at finite temperature from an experimentally relevant standpoint.
arXiv Detail & Related papers (2023-08-16T18:00:01Z) - Apparent pathologies in stochastic entropy production in the
thermalisation of an open two-level quantum system [0.0]
We investigate the entropic consequences of the relaxation of an open two-level quantum system towards a thermalised statistical state.
We demonstrate that thermalisation starting from a general state is accompanied by a persistent non-zero mean rate of change of the environmental component of entropy production.
arXiv Detail & Related papers (2023-03-07T11:34:46Z) - 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) - Accessing the topological Mott insulator in cold atom quantum simulators
with realistic Rydberg dressing [58.720142291102135]
We investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices.
We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation.
We furthermore study the stability of the phases with respect to temperature within the mean-field approximation.
arXiv Detail & Related papers (2022-03-28T14:55:28Z) - 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) - Enhancing disorder-free localization through dynamically emergent local
symmetries [0.0]
We show that disorder-free localization can not only be stabilized, but also textit enhanced by the addition of translation-invariant terms linear in a local $mathbbZ$ textitpseudogenerator
We show analytically and numerically how this leads through the quantum Zeno effect to the dynamical emergence of a renormalized gauge theory with an enhanced local symmetry.
arXiv Detail & Related papers (2021-11-16T19:00:00Z) - Uhlmann Fidelity and Fidelity Susceptibility for Integrable Spin Chains
at Finite Temperature: Exact Results [68.8204255655161]
We show that the proper inclusion of the odd parity subspace leads to the enhancement of maximal fidelity susceptibility in the intermediate range of temperatures.
The correct low-temperature behavior is captured by an approximation involving the two lowest many-body energy eigenstates.
arXiv Detail & Related papers (2021-05-11T14:08:02Z) - Subdiffusive dynamics and critical quantum correlations in a
disorder-free localized Kitaev honeycomb model out of equilibrium [0.0]
Disorder-free localization has recently emerged as a mechanism for ergodicity breaking in homogeneous lattice gauge theories.
In this work we show that this mechanism can lead to unconventional states of quantum matter as the absence of thermalization lifts constraints imposed by equilibrium statistical physics.
arXiv Detail & Related papers (2020-12-10T15:39:17Z) - 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) - 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.