Singularities in nearly-uniform 1D condensates due to quantum diffusion

• URL: http://arxiv.org/abs/2103.06293v2
• Date: Fri, 12 Mar 2021 01:53:33 GMT
• Title: Singularities in nearly-uniform 1D condensates due to quantum diffusion
• Authors: C. L. Baldwin, P. Bienias, A. V. Gorshkov, M. J. Gullans, M. Maghrebi
• Abstract summary: We show that Rydberg polaritons formed by electromagnetically-induced transparency exhibit wavelength-dependent loss rates. After a prolonged period in which the condensate appears to relax to a uniform state, local depleted regions quickly form and spread ballistically throughout the system. We show that the wavefronts of the depleted regions are described by purely dissipative solitons within a pair of hydrodynamic equations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Dissipative systems can often exhibit wavelength-dependent loss rates. One prominent example is Rydberg polaritons formed by electromagnetically-induced transparency, which have long been a leading candidate for studying the physics of interacting photons and also hold promise as a platform for quantum information. In this system, dissipation is in the form of quantum diffusion, i.e., proportional to $k^2$ ($k$ being the wavevector) and vanishing at long wavelengths as $k\to 0$. Here, we show that one-dimensional condensates subject to this type of loss are unstable to long-wavelength density fluctuations in an unusual manner: after a prolonged period in which the condensate appears to relax to a uniform state, local depleted regions quickly form and spread ballistically throughout the system. We connect this behavior to the leading-order equation for the nearly-uniform condensate -- a dispersive analogue to the Kardar-Parisi-Zhang (KPZ) equation -- which develops singularities in finite time. Furthermore, we show that the wavefronts of the depleted regions are described by purely dissipative solitons within a pair of hydrodynamic equations, with no counterpart in lossless condensates. We close by discussing conditions under which such singularities and the resulting solitons can be physically realized.

Related papers

• Understanding multiple timescales in quantum dissipative dynamics: Insights from quantum trajectories [0.0]
  We show that open quantum systems with nearly degenerate energy levels exhibit long-lived metastable states in the approach to equilibrium. This is a result of dramatic separation of timescales due to differences between Liouvillian eigenvalues.
  arXiv  Detail & Related papers  (2024-02-07T02:06:51Z)
• Robustness of Quantum Chaos and Anomalous Relaxation in Open Quantum Circuits [0.0]
  We study the interplay between quantum chaos and dissipation in generic quantum many-body systems. For a solvable model, in the limit of large local Hilbert space dimension, we obtain an exact expression for the DFF averaged over the random unitary gates. We find that, for long enough times, the system always relaxes with two distinctive regimes characterized by the presence or absence of gap-closing.
  arXiv  Detail & Related papers  (2023-12-01T15:22:42Z)
• Dynamics of polaron formation in 1D Bose gases in the strong-coupling regime [0.0]
  We discuss the dynamics of the formation of a Bose polaron when an impurity is injected into a weakly interacting Bose condensate. We use Truncated Wigner simulations to show under what conditions the influence of quantum fluctuations is small.
  arXiv  Detail & Related papers  (2023-04-27T19:55:18Z)
• Bound state of distant photons in waveguide quantum electrodynamics [137.6408511310322]
  Quantum correlations between distant particles remain enigmatic since the birth of quantum mechanics. We predict a novel kind of bound quantum state in the simplest one-dimensional setup of two interacting particles in a box. Such states could be realized in the waveguide quantum electrodynamics platform.
  arXiv  Detail & Related papers  (2023-03-17T09:27:02Z)
• 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)
• 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)
• Dephasing versus collapse: Lessons from the tight-binding model with noise [0.0]
  How a finite-temperature environment can localize wave functions is still being debated. We represent the environment by a fluctuating potential and investigate different unravellings of the Lindblad equation. We conclude that as long as no feedback between the wave function and the environment is taken into account, there will be no unique description of an open quantum system in terms of wave functions.
  arXiv  Detail & Related papers  (2021-09-17T13:14:18Z)
• Mesoscopic quantum superposition states of weakly-coupled matter-wave solitons [58.720142291102135]
  We establish quantum features of an atomic soliton Josephson junction (SJJ) device. We show that the SJJ-model in quantum domain exhibits unusual features due to its effective nonlinear strength proportional to the square of total particle number. We have shown that the obtained quantum state is more resistant to few particle losses from the condensates if tiny components of entangled Fock states are present.
  arXiv  Detail & Related papers  (2020-11-26T09:26:19Z)
• Quantum chaos driven by long-range waveguide-mediated interactions [125.99533416395765]
  We study theoretically quantum states of a pair of photons interacting with a finite periodic array of two-level atoms in a waveguide. Our calculation reveals two-polariton eigenstates that have a highly irregular wave-function in real space.
  arXiv  Detail & Related papers  (2020-11-24T07:06:36Z)
• Parallel dark soliton pair in a bistable 2D exciton-polariton superfluid [47.187609203210705]
  2D dark solitons are unstable and collapse into vortices due to snake instabilities. We demonstrate that a pair of dark solitons can be formed in the wake of an obstacle in a polariton flow resonantly supported by a homogeneous laser beam.
  arXiv  Detail & Related papers  (2020-03-25T13:52:22Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)

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.