• Corpus ID: 238198519

Can we observe the many-body localization?

  title={Can we observe the many-body localization?},
  author={Piotr Sierant and Jakub J. Zakrzewski},
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 localization (MBL), a phenomenon that is expected to freeze the dynamics of the system and prevent it from reaching thermal equilibrium. Performing extensive numerical simulations of the imbalance, a quantity often employed in the experimental studies of MBL, we show that the regime of a slow power-law decay… 

Figures and Tables from this paper

Relaxation at different length scales in models of many-body localization
We study dynamical correlation functions in the random-field Heisenberg chain, which probes the relaxation times at different length scales. Firstly, we show that the relaxation time associated with
Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
Equilibrium quantum many-body systems in the vicinity of phase transitions generically manifest universality. In contrast, limited knowledge has been gained on possible universal characteristics in
Destruction of Localization by Thermal Inclusions: Anomalous Transport and Griffiths Effects in the Anderson and Andr\'e-Aubry-Harper Models
We discuss and compare two recently proposed toy models for anomalous transport and Griffiths effects in random systems near the Many-Body Localization transitions: the random dephasing model, which
Simulation of Quantum Many-Body Dynamics with Tensor Processing Units: Floquet Prethermalization
This work demonstrates that TPUs can offer significant advantages for state-of-the-art simulations of quantum many-body dynamics, and studies the accumulation of numerical error as a function of circuit depth in very deep circuits.
Memory effects in the density-wave imbalance in delocalized disordered systems
Paul Pöpperl, 2 Igor V. Gornyi, 2, 3 and Alexander D. Mirlin 2, 4 Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany Institute for Quantum
Many-body localization regime for cavity-induced long-range interacting models
Many-body localization (MBL) features are studied here for a large spin chain model with long range interactions. The model corresponds to cold atoms placed inside a cavity and driven by an external
Thermalization of dilute impurities in one dimensional spin chains
We analyze a crossover between ergodic and non-ergodic regimes in an interacting spin chain with a dilute density of impurities, defined as spins with a strong local potential. The dilute limit allows


Avalanches and many-body resonances in many-body localized systems
We numerically study both the avalanche instability and many-body resonances in strongly-disordered spin chains exhibiting many-body localization (MBL). Finite-size systems behave MBL within the MBL
Signatures of bath-induced quantum avalanches in a many-body--localized system
Strongly correlated systems can exhibit surprising phenomena when brought in a state far from equilibrium. A spectacular example are quantum avalanches, that have been predicted to run through a
Finite-size scaling analysis of the many-body localization transition in quasiperiodic spin chains
Adith Sai Aramthottil,1, ∗ Titas Chanda,1 Piotr Sierant,2, 3 and Jakub Zakrzewski1, 4, † Institute of Theoretical Physics, Jagiellonian University in Kraków, Łojasiewicza 11, 30-348 Kraków, Poland
Phenomenology of spectral functions in finite disordered spin chains
Lev Vidmar, 2 Bartosz Krajewski, Janez Bonča, 1 and Marcin Mierzejewski Department of Theoretical Physics, J. Stefan Institute, SI-1000 Ljubljana, Slovenia Department of Physics, Faculty of
Dynamical obstruction to localization in a disordered spin chain
We analyze a one-dimensional XXZ spin chain in a disordered magnetic field. As the main probes of the system's behavior we use the sensitivity of eigenstates to adiabatic transformations, as
Observation of Stark many-body localization without disorder.
The results demonstrate the unexpected generality of MBL, with implications about the fundamental requirements for thermalization and with potential uses in engineering long-lived non-equilibrium quantum matter.
Stark many-body localization: Evidence for Hilbert-space shattering
The ergodic hypothesis lies at the heart of classical statistical physics. A crucial question, therefore, is how this idea translates into the quantum world. Many-body localization -- the analog of
Proceedings of the National Academy
  • Botanical Gazette
  • 1915