Phase and group velocities for correlation spreading in the Mott phase
of the Bose-Hubbard model in dimensions greater than one
- URL: http://arxiv.org/abs/2008.00015v2
- Date: Tue, 2 Mar 2021 21:55:34 GMT
- Title: Phase and group velocities for correlation spreading in the Mott phase
of the Bose-Hubbard model in dimensions greater than one
- Authors: Ali Mokhtari-Jazi, Matthew R. C. Fitzpatrick and Malcolm P. Kennett
- Abstract summary: Lieb-Robinson and related bounds set an upper limit on the rate of spreading of information in non-relativistic quantum systems.
We use a recently developed two particle irreducible (2PI) strong coupling approach to out-of-equilibrium dynamics in the Bose-Hubbard model.
Our results establish the 2PI strong coupling approach as a powerful tool to study out-of-equilibrium dynamics in the Bose-Hubbard model in dimensions greater than one.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Lieb-Robinson and related bounds set an upper limit on the rate of spreading
of information in non-relativistic quantum systems. Experimentally, they have
been observed in the spreading of correlations in the Bose-Hubbard model after
a quantum quench. Using a recently developed two particle irreducible (2PI)
strong coupling approach to out-of-equilibrium dynamics in the Bose-Hubbard
model we calculate both the group and phase velocities for the spreading of
single-particle correlations in one, two and three dimensions as a function of
interaction strength. Our results are in quantitative agreement with
measurements of the velocities for the spreading of single particle
correlations in both the one and two dimensional Bose-Hubbard model realized
with ultra-cold atoms. They also agree with the claim that the phase velocity
rather than the group velocity was observed in recent experiments in two
dimensions. We demonstrate that there can be large differences between the
phase and group velocities for the spreading of correlations and also explore
the variation of the anisotropy in the velocity at which correlations spread
across the phase diagram of the Bose-Hubbard model. Our results establish the
2PI strong coupling approach as a powerful tool to study out-of-equilibrium
dynamics in the Bose-Hubbard model in dimensions greater than one.
Related papers
- Excitonic Mott insulator in a Bose-Fermi-Hubbard system of moiré $\rm{WS}_2$/$\rm{WSe}_2$ heterobilayer [1.5312601525030873]
We study the interplay between fermionic and bosonic populations using a transition metal dichalcogenides heterobilayer device.
We measure exciton diffusion, which remains constant upon increasing pumping intensity, as opposed to the expected behavior of a weakly interacting gas of bosons.
Our system provides a controllable approach to the exploration of quantum many-body model.
arXiv Detail & Related papers (2023-04-19T15:18:18Z) - Evolution of many-body systems under ancilla quantum measurements [58.720142291102135]
We study the concept of implementing quantum measurements by coupling a many-body lattice system to an ancillary degree of freedom.
We find evidence of a disentangling-entangling measurement-induced transition as was previously observed in more abstract models.
arXiv Detail & Related papers (2023-03-13T13:06:40Z) - Bohmian analysis of dark solutions in interfering Bose-Einstein condensates: The dynamical role of underlying velocity fields [0.0]
Bohmian mechanics is considered as an additional tool to explore and analyze the formation and evolution in real time of the soliton arrays.
To better appreciate the subtleties of free versus bound dynamics, two cases are discussed.
arXiv Detail & Related papers (2022-10-24T12:45:34Z) - Slow semiclassical dynamics of a two-dimensional Hubbard model in
disorder-free potentials [77.34726150561087]
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.
arXiv Detail & Related papers (2022-10-03T16:51:25Z) - Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model.
The two-mode Dicke model exhibits normal to superradiant quantum phase transition.
We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
arXiv Detail & Related papers (2022-07-08T11:16:29Z) - 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) - Out-of-time-order correlator in the quantum Rabi model [62.997667081978825]
We show that out-of-time-order correlator derived from the Loschmidt echo signal quickly saturates in the normal phase.
We show that the effective time-averaged dimension of the quantum Rabi system can be large compared to the spin system size.
arXiv Detail & Related papers (2022-01-17T10:56:57Z) - Lieb-Robinson bounds and growth of correlations in Bose mixtures [77.34726150561087]
For a mixture of interacting Bose gases initially prepared in a regime of condensation (uncorrelation) it is proved that in the course of the time evolution observables of disjoint sets of particles of each species have correlation functions that remainally small in the total number of particles and display a controlled growth in time.
arXiv Detail & Related papers (2021-10-30T19:23:42Z) - Bosonic Quantum Dynamics Following Colliding Potential Wells [0.0]
We investigate the correlated non-equilibrium quantum dynamics of two bosons confined in two colliding and uniformly accelerated Gaussian wells.
Despite the comparatively weak interaction strengths employed in this work, we identify strong inter-particle correlations by analyzing the corresponding Von Neumann entropy.
arXiv Detail & Related papers (2021-02-02T14:59:08Z) - Staggered superfluid phases of dipolar bosons in two-dimensional square
lattices [0.0]
We study the quantum ground state of ultracold bosons in a two-dimensional square lattice.
The bosons interact via the repulsive dipolar interactions and s-wave scattering.
We show that this interference gives rise to staggered superfluid and supersolid phases at vanishing kinetic energy.
arXiv Detail & Related papers (2020-08-03T13:39:52Z) - Two-body repulsive bound pairs in multi-body interacting Bose-Hubbard
model [0.0]
We study the system of multi-body interacting bosons on a two dimensional optical lattice.
We analyze the formation of bound bosonic pairs in the context of the Bose-Hubbard model.
arXiv Detail & Related papers (2020-02-26T06:21:49Z)
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.