Many-body localization in presence of cavity mediated long-range interactions

@article{Sierant2019ManybodyLI,
title={Many-body localization in presence of cavity mediated long-range interactions},
author={Piotr Sierant and Krzysztof Biedro'n and Giovanna Morigi and Jakub J. Zakrzewski},
journal={SciPost Physics},
year={2019}
}
• Published 1 February 2019
• Physics
• SciPost Physics
We show that a one-dimensional Hubbard model with all-to-all coupling may exhibit many-body localization in the presence of local disorder. We numerically identify the parameter space where many-body localization occurs using exact diagonalization and finite-size scaling. The time evolution from a random initial state exhibits features consistent with the localization picture. The dynamics can be observed with quantum gases in optical cavities, localization can be revealed through the time…
20 Citations
Many-body localization in a long-range model: Real-space renormalization-group study.
• Physics
Physical review. E
• 2020
We develop a real-space renormalization-group (RSRG) scheme by appropriately inserting the long-range hopping t∼r^{-α} with nearest-neighbor interaction to study the entanglement entropy and maximum
Thouless Time Analysis of Anderson and Many-Body Localization Transitions.
• Physics
Physical review letters
• 2020
It is argued that the two parameter scaling breaks down in the vicinity of the transition to the localized phase, signaling a slowing-down of dynamics.
Localization dynamics in a centrally coupled system
• Physics
• 2020
In systems where interactions couple a central degree of freedom and a bath, one would expect signatures of the bath's phase to be reflected in the dynamics of the central degree of freedom. This has
Probing the many-body localization phase transition with superconducting circuits
• Physics
Physical Review B
• 2019
Chains of superconducting circuit devices provide a natural platform for studies of synthetic bosonic quantum matter. Motivated by the recent experimental progress in realizing disordered and
Challenges to observation of many-body localization
• Physics
• 2021
We study time dynamics of 1D disordered Heisenberg spin-1/2 chain focusing on a regime of large system sizes and a long time evolution. This regime is relevant for observation of manybody
Origin of the slow growth of entanglement entropy in long-range interacting spin systems
• Physics
Physical Review Research
• 2020
Long-range interactions allow far-distance quantum correlations to build up very fast. Nevertheless, numerical simulations demonstrated a dramatic slowdown of entanglement entropy growth after a
Time dynamics with matrix product states: Many-body localization transition of large systems revisited
• Physics
Physical Review B
• 2020
We compare accuracy of two prime time evolution algorithms involving Matrix Product States - tDMRG (time-dependent density matrix renormalization group) and TDVP (time-dependent variational
Confinement and Lack of Thermalization after Quenches in the Bosonic Schwinger Model.
• Physics
Physical review letters
• 2020
For the timescales able to simulate, the system evades thermalization and generates exotic asymptotic states that are made of two disjoint regions, an external deconfined region that seems to thermalize, and an inner core that reveals an area-law saturation of the entanglement entropy.
Model of level statistics for disordered interacting quantum many-body systems
• Physics
Physical Review B
• 2020
We numerically study level statistics of disordered interacting quantum many-body systems. A two-parameter plasma model which controls the level repulsion exponent $\ensuremath{\beta}$ and range $h$
• Physics
Physical review letters
• 2020
A prediction of the superradiant instability driven by Anderson localization is reported, realized with a hybrid system of the Dicke and Aubry-André (DAA) model for bosons trapped in a one-dimensional quasiperiodic optical lattice and coupled to a cavity.

References

SHOWING 1-10 OF 110 REFERENCES
Many-body localization due to random interactions
• Physics
• 2017
The possibility of observing many body localization of ultracold atoms in a one dimensional optical lattice is discussed for random interactions. In the non-interacting limit, such a system reduces
Observation of Many-Body Localization in a One-Dimensional System with a Single-Particle Mobility Edge.
• Physics
Physical review letters
• 2019
We experimentally study many-body localization (MBL) with ultracold atoms in a weak one-dimensional quasiperiodic potential, which in the noninteracting limit exhibits an intermediate phase that is
Coupling Identical one-dimensional Many-Body Localized Systems.
• Physics
Physical review letters
• 2016
A strikingly different behavior is found between many-body localization and Anderson localization: in the interacting case any coupling between the tubes leads to a delocalization of the entire system.
Many–body localization for randomly interacting bosons
• Physics
• 2017
We study many-body localization in a one dimensional optical lattice filled with bosons. The interaction between bosons is assumed to be random, which can be realized for atoms close to a microchip
Many-body localization of bosons in optical lattices
• Physics
• 2017
Many-body localization for a system of bosons trapped in a one dimensional lattice is discussed. Two models that may be realized for cold atoms in optical lattices are considered. The model with a
Many-body localization phase transition
• Physics
• 2010
We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all
Many-body localization in dipolar systems.
• Physics
Physical review letters
• 2014
This work proposes and analyzes several experimental systems that can be used to observe and probe many-body localized phases, including ultracold polar molecules and solid-state magnetic spin impurities.
Many-Body Localization and Quantum Nonergodicity in a Model with a Single-Particle Mobility Edge.
• Physics
Physical review letters
• 2015
It is established that the model possesses an infinite temperature many-body localization transition despite the existence of a single-particle mobility edge and proposes a practical scheme to test the predictions in atomic optical lattice experiments which can directly probe the effects of the mobility edge.
Unbounded growth of entanglement in models of many-body localization.
• Physics
Physical review letters
• 2012
The significance for proposed atomic experiments is that local measurements will show a large but nonthermal entropy in the many-body localized state, which develops slowly over a diverging time scale as in glassy systems.
Many-body localization and thermalization in disordered Hubbard chains
• Physics
• 2015
We study the many-body localization transition in one-dimensional Hubbard chains using exact diagonalization and quantum chaos indicators. We also study dynamics in the delocalized (ergodic) and