Spectral and steady-state properties of fermionic random quadratic Liouvillians

• URL: http://arxiv.org/abs/2210.07959v2
• Date: Fri, 13 Oct 2023 13:59:18 GMT
• Title: Spectral and steady-state properties of fermionic random quadratic Liouvillians
• Authors: Jo\~ao Costa, Pedro Ribeiro, Andrea de Luca, Toma\v{z} Prosen, and Lucas S\'a
• Abstract summary: 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.
• Score: 0.3774866290142281
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study spectral and steady-state properties of generic Markovian dissipative systems described by quadratic fermionic Liouvillian operators of the Lindblad form. The Hamiltonian dynamics is modeled by a generic random quadratic operator, i.e., as a featureless superconductor of class D, whereas the Markovian dissipation is described by $M$ random linear jump operators. By varying the dissipation strength and the ratio of dissipative channels per fermion, $m=M/(2N_F)$, we find two distinct phases where the support of the single-particle spectrum has one or two connected components. In the strongly dissipative regime, this transition occurs for $m=1/2$ and is concomitant with a qualitative change in both the steady-state and the spectral gap that rules the large-time dynamics. Above this threshold, the spectral gap and the steady-state purity qualitatively agree with the fully generic (i.e., non-quadratic) case studied recently. Below $m=1/2$, the spectral gap closes in the thermodynamic limit and the steady-state decouples into an ergodic and a nonergodic sector yielding a non-monotonic steady-state purity as a function of the dissipation strength. Our results show that some of the universal features previously observed for fully random Liouvillians are generic for a sufficiently large number of jump operators. On the other hand, if the number of dissipation channels is decreased the system can exhibit nonergodic features, rendering it possible to suppress dissipation in protected subspaces even in the presence of strong system-environment coupling.

Related papers

• Exact dynamics of quantum dissipative $XX$ models: Wannier-Stark localization in the fragmented operator space [49.1574468325115]
  We find an exceptional point at a critical dissipation strength that separates oscillating and non-oscillating decay. We also describe a different type of dissipation that leads to a single decay mode in the whole operator subspace.
  arXiv  Detail & Related papers  (2024-05-27T16:11:39Z)
• Nodal Spectral Functions Stabilized by Non-Hermitian Topology of Quasiparticles [0.0]
  We discuss how the abundance and stability of nodal phases is drastically affected by NH topology. We study a microscopic lattice model in which a sublattice-dependent interaction stabilizes nodal spectral functions.
  arXiv  Detail & Related papers  (2024-05-08T18:00:06Z)
• Three perspectives on entropy dynamics in a non-Hermitian two-state system [41.94295877935867]
  entropy dynamics as an indicator of physical behavior in an open two-state system with balanced gain and loss is presented. We distinguish the perspective taken in utilizing the conventional framework of Hermitian-adjoint states from an approach that is based on biorthogonal-adjoint states and a third case based on an isospectral mapping.
  arXiv  Detail & Related papers  (2024-04-04T14:45:28Z)
• Chaos and quantization of the three-particle generic Fermi-Pasta-Ulam-Tsingou model II: phenomenology of quantum eigenstates [5.387047563972287]
  We study the phenomenology of quantum eigenstates in the three-particle FPUT model. We find that in the mixed-type system, the fraction of mixed eigenstates in an energy shell shows a power-law decay with respect to the decreasing Planck constant. In the general case which is fully chaotic, the maximally localized state is influenced by the stable and unstable manifold of the saddles.
  arXiv  Detail & Related papers  (2024-01-23T19:51:58Z)
• Ground-state entanglement spectrum of a generic model with nonlocal excitation-phonon coupling [0.0]
  Ground-state entanglement spectrum of a model of excitation-phonon interaction is numerically evaluated here. A transition between a bare excitation and a heavily phonon-dressed (polaronic) one can be thought of as a transition between vanishing and finite entanglement. The implications of excitation-phonon entanglement for $W$-state engineering in superconducting and neutral-atom-based qubit arrays are also discussed.
  arXiv  Detail & Related papers  (2023-12-01T18:16:11Z)
• Nonadiabatic transitions in non-Hermitian $\mathcal{PT}$-symmetric two-level systems [3.7440572759222692]
  We systematically characterize the evolution of time-parity systems with spin-dependent dissipations. We find that the behaviors of particle probability on the two levels show initial-state-independent redistribution in the slow-speed limit. The predicted equal-distribution phenomenon may be employed to identify gap closing from anti-crossing between two energy bands.
  arXiv  Detail & Related papers  (2023-01-25T02:11:38Z)
• Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
  We introduce a class of quantum optical Hamiltonian characterized by three-body couplings. We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
  arXiv  Detail & Related papers  (2022-04-07T15:39:21Z)
• Enhanced superconductivity and various edge modes in modulated $t$-$J$ chains [6.0413288393037305]
  We numerically investigate the ground state of the extended $t$-$J$ Hamiltonian with periodic local modulations in one dimension. We obtain a rich ground-state phase diagram consisting of the metallic state, the superconducting state, the phase separation, and insulating states at commensurate fillings.
  arXiv  Detail & Related papers  (2021-11-26T19:00:18Z)
• Exact solutions of interacting dissipative systems via weak symmetries [77.34726150561087]
  We analytically diagonalize the Liouvillian of a class Markovian dissipative systems with arbitrary strong interactions or nonlinearity. This enables an exact description of the full dynamics and dissipative spectrum. Our method is applicable to a variety of other systems, and could provide a powerful new tool for the study of complex driven-dissipative quantum systems.
  arXiv  Detail & Related papers  (2021-09-27T17:45:42Z)
• 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)
• Feedback-induced instabilities and dynamics in the Jaynes-Cummings model [62.997667081978825]
  We investigate the coherence and steady-state properties of the Jaynes-Cummings model subjected to time-delayed coherent feedback. The introduced feedback qualitatively modifies the dynamical response and steady-state quantum properties of the system.
  arXiv  Detail & Related papers  (2020-06-20T10:07:01Z)

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.