Instability of the engineered dark state in two-band fermions under number-conserving dissipative dynamics

• URL: http://arxiv.org/abs/2408.04987v1
• Date: Fri, 9 Aug 2024 10:28:44 GMT
• Title: Instability of the engineered dark state in two-band fermions under number-conserving dissipative dynamics
• Authors: A. A. Lyublinskaya, P. A. Nosov, I. S. Burmistrov,
• Abstract summary: Correlated quantum many-body states can be created and controlled by the dissipative protocols. Number-conserving dissipative protocols are particularly appealing due to their ability to stabilize nontrivial phases. We show that number-conserving dissipative protocols may not be a reliable universal tool for stabilizing dark states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Correlated quantum many-body states can be created and controlled by the dissipative protocols. Among these, particle number-conserving protocols are particularly appealing due to their ability to stabilize topologically nontrivial phases. Is there any fundamental limitation to their performance? We address this question by examining a general class of models involving a two-band fermion system subjected to dissipation designed to transfer fermions from the upper band to the lower band. By construction, these models have a guaranteed steady state -- a dark state -- with a completely filled lower band and an empty upper band. In the limit of weak dissipation, we derive equations governing the dynamics of the fermion densities over long length and time scales. These equations belong to the Fisher-Kolmogorov-Petrovsky-Piskunov reaction-diffusion universality class. Our analysis reveals that the engineered dark state is generically unstable, giving way to a new steady state with a finite density of particles in the upper band. Our results suggest that number-conserving dissipative protocols may not be a reliable universal tool for stabilizing dark states.

Related papers

• Dissipation-induced bound states as a two-level system [0.0]
  An anti-parity-time symmetric system can have a single pair of real energy levels, while all the remaining levels are unstable due to the negative imaginary part of the energy. In this work, we investigate the formation of bound states in a tight-binding chain induced by a harmonic imaginary potential.
  arXiv  Detail & Related papers  (2024-05-28T03:25:31Z)
• Ultracold Neutrons in the Low Curvature Limit: Remarks on the post-Newtonian effects [49.1574468325115]
  We apply a perturbative scheme to derive the non-relativistic Schr"odinger equation in curved spacetime. We calculate the next-to-leading order corrections to the neutron's energy spectrum. While the current precision for observations of ultracold neutrons may not yet enable to probe them, they could still be relevant in the future or in alternative circumstances.
  arXiv  Detail & Related papers  (2023-12-30T16:45:56Z)
• Real-time dynamics of false vacuum decay [49.1574468325115]
  We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
  arXiv  Detail & Related papers  (2023-10-06T12:44:48Z)
• Diffusive modes of two-band fermions under number-conserving dissipative dynamics [0.0]
  Driven-dissipative protocols are proposed to control and create nontrivial quantum many-body correlated states. We show the existence of diffusive modes in the particle-number-conserving dissipative dynamics.
  arXiv  Detail & Related papers  (2023-08-12T12:52:56Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• 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)
• Spectral and steady-state properties of fermionic random quadratic Liouvillians [0.3774866290142281]
  We study spectral and steady-state properties of generic Markovian dissipative systems. We find two distinct phases where the support of the single-particle spectrum has one or two connected components.
  arXiv  Detail & Related papers  (2022-10-14T16:55:51Z)
• Interplay between transport and quantum coherences in free fermionic systems [58.720142291102135]
  We study the quench dynamics in free fermionic systems. In particular, we identify a function, that we dub emphtransition map, which takes the value of the stationary current as input and gives the value of correlation as output.
  arXiv  Detail & Related papers  (2021-03-24T17:47:53Z)
• Non-equilibrium stationary states of quantum non-Hermitian lattice models [68.8204255655161]
  We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner. We focus on the quantum steady states of such models for both fermionic and bosonic systems.
  arXiv  Detail & Related papers  (2021-03-02T18:56:44Z)
• Bose-Einstein condensate soliton qubit states for metrological applications [58.720142291102135]
  We propose novel quantum metrology applications with two soliton qubit states. Phase space analysis, in terms of population imbalance - phase difference variables, is also performed to demonstrate macroscopic quantum self-trapping regimes.
  arXiv  Detail & Related papers  (2020-11-26T09:05:06Z)
• Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States [0.0]
  We study the stability with respect to a broad class of perturbations of gapped ground state phases of quantum spin systems. Under a condition of Local Topological Quantum Order, the bulk gap is stable under perturbations that decay at long distances faster than a stretched exponential.
  arXiv  Detail & Related papers  (2020-10-29T03:24:19Z)

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.