Dynamics of large deviations in the hydrodynamic limit: Non-interacting systems

• URL: http://arxiv.org/abs/2007.12113v2
• Date: Tue, 27 Oct 2020 10:54:27 GMT
• Title: Dynamics of large deviations in the hydrodynamic limit: Non-interacting systems
• Authors: Gabriele Perfetto and Andrea Gambassi
• Abstract summary: We study the dynamics of the energy transferred across a point along a quantum chain. We consider the transverse field Ising and harmonic chains as prototypical models of non-interacting fermionic and bosonic excitations.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the dynamics of the statistics of the energy transferred across a point along a quantum chain which is prepared in the inhomogeneous initial state obtained by joining two identical semi-infinite parts thermalized at two different temperatures. In particular, we consider the transverse field Ising and harmonic chains as prototypical models of non-interacting fermionic and bosonic excitations, respectively. Within the so-called hydrodynamic limit of large space-time scales we first discuss the mean values of the energy density and current, and then, aiming at the statistics of fluctuations, we calculate exactly the scaled cumulant generating function of the transferred energy. From the latter, the evolution of the associated large deviation function is obtained. A natural interpretation of our results is provided in terms of a semi-classical picture of quasi-particles moving ballistically along classical trajectories. Similarities and differences between the transferred energy scaled cumulant and the large deviation functions in the cases of non-interacting fermions and bosons are discussed.

Related papers

• Full counting statistics after quantum quenches as hydrodynamic fluctuations [0.0]
  The statistics of fluctuations on large regions of space encodes universal properties of many-body systems. Although exact results have been conjectured in integrable models, a correct understanding of the physics is largely missing.
  arXiv  Detail & Related papers  (2024-11-21T18:38:40Z)
• Fermionization and collective excitations of 1D polariton lattices [0.0]
  We show that the hallmarks of correlation and fermionization in a one-dimensional exciton-polaritons gas can be observed with state-of-the-art technology. Our work encourages future experiments aimed at observing, for the first time, strongly correlated exciton-polariton physics.
  arXiv  Detail & Related papers  (2024-05-03T17:09:12Z)
• Thermodynamics of adiabatic quantum pumping in quantum dots [50.24983453990065]
  We consider adiabatic quantum pumping through a resonant level model, a single-level quantum dot connected to two fermionic leads. We develop a self-contained thermodynamic description of this model accounting for the variation of the energy level of the dot and the tunnelling rates with the thermal baths.
  arXiv  Detail & Related papers  (2023-06-14T16:29:18Z)
• Scaling of fronts and entanglement spreading during a domain wall melting [0.0]
  We revisit the out-of-equilibrium physics arising during the unitary evolution of a one-dimensional XXZ spin chain. In the last part of the work, we include large-scale quantum fluctuations on top of the semi-classical hydrodynamic background.
  arXiv  Detail & Related papers  (2023-03-17T15:34:43Z)
• 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)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• Exact thermal properties of free-fermionic spin chains [68.8204255655161]
  We focus on spin chain models that admit a description in terms of free fermions. Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
  arXiv  Detail & Related papers  (2021-03-30T13:15:44Z)
• Statistical mechanics of one-dimensional quantum droplets [0.0]
  We study the dynamical relaxation process of modulationally unstable one-dimensional quantum droplets. We find that the instability leads to the spontaneous formation of quantum droplets featuring multiple collisions.
  arXiv  Detail & Related papers  (2021-02-25T15:30:30Z)
• Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
  We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas. Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit. The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
  arXiv  Detail & Related papers  (2020-08-05T18:00:26Z)
• 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)
• Nonadiabatic energy fluctuations of scale-invariant quantum systems in a time-dependent trap [0.0]
  We consider the nonadiabatic energy fluctuations of a many-body system in a time-dependent harmonic trap. Our results pave the way to the experimental study of nonadiabatic energy fluctuations in driven quantum fluids.
  arXiv  Detail & Related papers  (2020-04-09T14:49:31Z)

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.