Slow semiclassical dynamics of a two-dimensional Hubbard model in
disorder-free potentials
- URL: http://arxiv.org/abs/2210.01082v2
- Date: Mon, 17 Oct 2022 15:42:03 GMT
- Title: Slow semiclassical dynamics of a two-dimensional Hubbard model in
disorder-free potentials
- Authors: Aleksander Kaczmarek, Adam S. Sajna
- Abstract summary: We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times.
In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
- Score: 77.34726150561087
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The quench dynamics of the Hubbard model in tilted and harmonic potentials is
discussed within the semiclassical picture. Applying the fermionic truncated
Wigner approximation (fTWA), the dynamics of imbalances for charge and spin
degrees of freedom is analyzed and its time evolution is compared with the
exact simulations in one-dimensional lattice. Quench from charge or spin
density wave is considered. We show that introduction of harmonic and
spin-dependent linear potentials sufficiently validates fTWA for longer times.
Such an improvement of fTWA is also obtained for the higher order correlations
in terms of quantum Fisher information for charge and spin channels. This
allows us to discuss the dynamics of larger system sizes and connect our
discussion to the recently introduced Stark many-body localization. In
particular, we focus on a finite two-dimensional system and show that at
intermediate linear potential strength, the addition of a harmonic potential
and spin dependence of the tilt, results in subdiffusive dynamics, similar to
that of disordered systems. Moreover, for specific values of harmonic
potential, we observed phase separation of ergodic and non-ergodic regions in
real space. The latter fact is especially important for ultracold atom
experiments in which harmonic confinement can be easily imposed, causing a
significant change in relaxation times for different lattice locations.
Related papers
- Two-mode Squeezing in Floquet Engineered Power-law Interacting Spin Models [0.0]
We find scalable generation of entanglement in the form of two-mode squeezing between the layers can generically be achieved in powerlaw models.
spatially-temporally engineered interactions allow to significantly increase the generated entanglement and in fact achieve Heisenberg limited scaling.
arXiv Detail & Related papers (2024-02-28T19:00:06Z) - Quench dynamics in higher-dimensional Holstein models: Insights from Truncated Wigner Approaches [41.94295877935867]
We study the melting of charge-density waves in a Holstein model after a sudden switch-on of the electronic hopping.
A comparison with exact data obtained for a Holstein chain shows that a semiclassical treatment of both the electrons and phonons is required in order to correctly describe the phononic dynamics.
arXiv Detail & Related papers (2023-12-19T16:14:01Z) - Entangling dynamics from effective rotor/spin-wave separation in
U(1)-symmetric quantum spin models [0.0]
Non-equilibrium dynamics of quantum spin models is a most challenging topic, due to the exponentiality of Hilbert space.
A particularly important class of evolutions is the one governed by U(1) symmetric Hamiltonians.
We show that the dynamics of the OAT model can be closely reproduced by systems with power-lawdecaying interactions.
arXiv Detail & Related papers (2023-02-18T09:37:45Z) - Probing dynamics of a two-dimensional dipolar spin ensemble using single
qubit sensor [62.997667081978825]
We experimentally investigate individual spin dynamics in a two-dimensional ensemble of electron spins on the surface of a diamond crystal.
We show that this anomalously slow relaxation rate is due to the presence of strong dynamical disorder.
Our work paves the way towards microscopic study and control of quantum thermalization in strongly interacting disordered spin ensembles.
arXiv Detail & Related papers (2022-07-21T18:00:17Z) - Photoinduced prethermal order parameter dynamics in the two-dimensional
large-$N$ Hubbard-Heisenberg model [77.34726150561087]
We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model.
We simulate the light-induced transition between two competing phases.
arXiv Detail & Related papers (2022-05-13T13:13:31Z) - Tuning long-range fermion-mediated interactions in cold-atom quantum
simulators [68.8204255655161]
Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior.
Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
arXiv Detail & Related papers (2022-03-31T13:32:12Z) - Many-body localization in tilted and harmonic potentials [0.0]
We discuss nonergodic dynamics of interacting spinless fermions in a tilted optical lattice.
Time dynamics is studied using exact propagation for small chains and matrix product states techniques for larger system sizes.
arXiv Detail & Related papers (2021-03-22T10:06:35Z) - 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) - Feedback-induced instabilities and dynamics in the Jaynes-Cummings model [62.997667081978825]
We investigate the coherence and steady-state properties of the Jaynes-Cummings model subjected to time-delayed coherent feedback.
The introduced feedback qualitatively modifies the dynamical response and steady-state quantum properties of the system.
arXiv Detail & Related papers (2020-06-20T10:07:01Z) - Semiclassical dynamics of a disordered two-dimensional Hubbard model
with long-range interactions [0.0]
We analyze Quench dynamics in a two-dimensional system of interacting fermions.
For a weak and moderate disorder strength, we observe subdiffusive behavior of charges, while spins exhibit diffusive dynamics.
In contrast to the short-range model, strong inhomogeneities such as domain walls in the initial state can significantly slow down thermalization dynamics.
arXiv Detail & Related papers (2020-02-13T14:59:23Z)
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.