Unbounded entanglement production via a dissipative impurity

• URL: http://arxiv.org/abs/2104.10921v2
• Date: Thu, 13 May 2021 08:39:48 GMT
• Title: Unbounded entanglement production via a dissipative impurity
• Authors: Vincenzo Alba
• Abstract summary: We derive a formula describing the dynamics of the entanglement entropies in the hydrodynamic limit of long times and large intervals. The result depends only on the absorption coefficient of the effective delta potential describing the impurity in the hydrodynamic limit.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the entanglement dynamics in a free-fermion chain initially prepared in a Fermi sea and subjected to localized losses (dissipative impurity). We derive a formula describing the dynamics of the entanglement entropies in the hydrodynamic limit of long times and large intervals. The result depends only on the absorption coefficient of the effective delta potential describing the impurity in the hydrodynamic limit. Genuine dissipation-induced entanglement is certified by the linear growth of the logarithmic negativity. Finally, in the quantum Zeno regime at strong dissipation the entanglement growth is arrested (Zeno entanglement death).

Related papers

• Emergent Fracton Hydrodynamics in the Fractional Quantum Hall Regime of Ultracold Atoms [41.94295877935867]
  We show that in the lowest Landau level the system generically relaxes subdiffusively. The slow relaxation is understood from emergent conservation laws of the total charge. We discuss the prospect of rotating quantum gases as well as ultracold atoms in optical lattices for observing this unconventional relaxation dynamics.
  arXiv  Detail & Related papers  (2024-10-09T18:00:02Z)
• Fate of entanglement in quadratic Markovian dissipative systems [0.0]
  We develop a description for the driven-dissipative dynamics of the entanglement negativity. We focus on quantum quenches in fermionic and bosonic systems subject to linear dissipation.
  arXiv  Detail & Related papers  (2024-06-21T17:41:39Z)
• Observation of Nonlinear Response and Onsager Regression in a Photon Bose-Einstein Condensate [34.82692226532414]
  The quantum regression theorem states that the correlations of a system at two different times are governed by the same equations of motion as the temporal response of the average values. Here we experimentally demonstrate that the two-time particle number correlations in a photon Bose-Einstein condensate inside a dye-filled microcavity exhibit the same dynamics as the response of the condensate to a sudden perturbation of the dye molecule bath. This confirms the regression theorem for a quantum gas and, moreover, establishes a test of this relation in an unconventional form where the perturbation acts on the bath and only the condensate response is monitored.
  arXiv  Detail & Related papers  (2024-03-07T17:59:58Z)
• Emergence of fluctuating hydrodynamics in chaotic quantum systems [47.187609203210705]
  macroscopic fluctuation theory (MFT) was recently developed to model the hydrodynamics of fluctuations. We perform large-scale quantum simulations that monitor the full counting statistics of particle-number fluctuations in boson ladders. Our results suggest that large-scale fluctuations of isolated quantum systems display emergent hydrodynamic behavior.
  arXiv  Detail & Related papers  (2023-06-20T11:26:30Z)
• Disorder-Induced Entanglement Phase Transitions in Non-Hermitian Systems with Skin Effects [20.88126933913389]
  We study the dynamics of a many-body state of free fermions in the paradigmatic Hatano-Nelson model with open boundaries. We find that the area-law behavior of the entanglement entropy in the pristine Hatano-Nelson model develops into a logarithmic scaling for small disorder strength.
  arXiv  Detail & Related papers  (2023-05-21T04:34:05Z)
• Symmetry-resolved entanglement in fermionic systems with dissipation [0.0]
  We derive a hydrodynamic description of the dynamics of several entanglement-related quantities. We show that all these quantities admit a hydrodynamic description in terms of entangled quasiparticles. Our results hold in the weak-dissipative hydrodynamic limit of large intervals, long times and weak dissipation rates.
  arXiv  Detail & Related papers  (2023-03-21T18:15:13Z)
• Reaction-diffusive dynamics of number-conserving dissipative quantum state preparation [0.0]
  We show the emergence of a diffusive regime for the particle and hole density modes at intermediate length- and time-scales. We also identify processes that limit the diffusive behavior of this mode at the longest length- and time-scales. Strikingly, we find that these processes lead to a reaction-diffusion dynamics governed by the Fisher-Kolmogorov-Petrovsky-Piskunov equation.
  arXiv  Detail & Related papers  (2023-01-12T19:11:04Z)
• Entanglement negativity in a fermionic chain with dissipative defects: Exact results [0.0]
  We investigate the dynamics of the fermionic logarithmic negativity in a free-fermion chain with a localized loss. The negativity grows linearly at short times, then saturating to a volume-law scaling. This reflects the interplay between dissipative and unitary processes.
  arXiv  Detail & Related papers  (2022-09-28T15:15:24Z)
• In-Gap Band Formation in a Periodically Driven Charge Density Wave Insulator [68.8204255655161]
  Periodically driven quantum many-body systems host unconventional behavior not realized at equilibrium. We investigate such a setup for strongly interacting spinless fermions on a chain, which at zero temperature and strong interactions form a charge density wave insulator.
  arXiv  Detail & Related papers  (2022-05-19T13:28:47Z)
• The Limiting Dynamics of SGD: Modified Loss, Phase Space Oscillations, and Anomalous Diffusion [29.489737359897312]
  We study the limiting dynamics of deep neural networks trained with gradient descent (SGD) We show that the key ingredient driving these dynamics is not the original training loss, but rather the combination of a modified loss, which implicitly regularizes the velocity and probability currents, which cause oscillations in phase space.
  arXiv  Detail & Related papers  (2021-07-19T20:18:57Z)
• Noninteracting fermionic systems with localized losses: Exact results in the hydrodynamic limit [0.0]
  We investigate the interplay between unitary dynamics after a quantum quench and localized dissipation in a noninteracting fermionic chain. In particular, we consider the effect of gain and loss processes, for which fermions are added and removed incoherently. For strong dissipation the coherent dynamics of the system is arrested, which is a manifestation of the celebrated quantum Zeno effect.
  arXiv  Detail & Related papers  (2021-03-09T19:16:31Z)

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.