Critical dynamics and superconducting state preparation in the quenched Kitaev chain with pairing imbalance

• URL: http://arxiv.org/abs/2509.21540v1
• Date: Thu, 25 Sep 2025 20:28:58 GMT
• Title: Critical dynamics and superconducting state preparation in the quenched Kitaev chain with pairing imbalance
• Authors: Y. B. Shi, Y. X. Zhang, S. W. Liu, Z. Song,
• Abstract summary: The balance of the pairing term plays a crucial role in the emergence of topological superconductivity in the p-wave spinless Kitaev chain.<n>We investigate the effects of non-Hermitian pairing terms on both equilibrium and nonequilibrium phenomena in the Kitaev chain.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The dynamical balance of the pairing term plays a crucial role in the emergence of topological superconductivity in the p-wave spinless Kitaev chain, particularly in the non-Hermitian regime. In this work, we systematically investigate the effects of non-Hermitian pairing terms on both equilibrium and nonequilibrium phenomena in the Kitaev chain. Our analysis focuses on two representative forms of pairing imbalance: uniform and staggered. We demonstrate that a uniform imbalance induces only minor perturbations to the spectrum and dynamical properties, without significantly affecting its equilibrium phase or nonequilibrium steady behavior. In contrast, even a slight staggered imbalance leads to drastic changes. At the symmetry point, it enables the resonant generation of two distinct superconducting states through critical dynamics, with the realized state determined by the direction of the bias. Both states exhibit exact off-diagonal long-range order (ODLRO) in the thermodynamic limit. Our results emphasize the fragility of coherent dynamics in non-Hermitian topological systems and elucidate the interplay among non-Hermiticity, topology, and dynamical criticality in quench processes.

Related papers

• Parametric resonant enhancement of motional entanglement under optimal control: an analytical study [45.88028371034407]
  We study theoretically continuous-variable entanglement between the motional degrees of freedom of optically trapped massive particles coupled via the Coulomb interaction.<n>We perform a detailed analysis of the parametric resonance induced by temporal modulation of the coupling strength, based on the system's coupled nonlinear, nonhomogeneous dynamical equations.<n>We demonstrate that a stationary nonequilibrium entangled state is realized as a result of the competition between parametric gain and decoherence.
  arXiv  Detail & Related papers  (2025-10-21T09:01:19Z)
• Real-time scattering and freeze-out dynamics in Rydberg-atom lattice gauge theory [19.249431983970567]
  We observe real-time scattering and freeze-out dynamics in (1+1)-dimensional U(1) gauge theory.<n>Our work establishes a high-resolution approach for probing non-perturbative gauge dynamics.
  arXiv  Detail & Related papers  (2025-08-08T18:36:20Z)
• Page Curve and Entanglement Dynamics in an Interacting Fermionic Chain [0.0]
  We investigate such Page-like behavior of the von Neumann entropy in a model of strongly correlated spinless fermions.<n>In the presence of interactions, a scaling analysis gives a non-zero critical time for the non-analyticity in the thermodynamic limit.<n>We present a physical picture explaining these findings.
  arXiv  Detail & Related papers  (2025-02-05T19:22:48Z)
• Equilibrium and nonequilibrium steady states with the repeated interaction protocol: Relaxation dynamics and energetic cost [44.99833362998488]
  We study the dynamics of a qubit system interacting with thermalized bath-ancilla spins via a repeated interaction scheme.<n>Our key finding is that deterministic system-ancilla interactions do not typically result in the system thermalizing to the thermal state of the ancilla.
  arXiv  Detail & Related papers  (2025-01-09T17:35:36Z)
• Non-equilibrium dynamics of charged dual-unitary circuits [44.99833362998488]
  interplay between symmetries and entanglement in out-of-equilibrium quantum systems is currently at the centre of an intense multidisciplinary research effort. We show that one can introduce a class of solvable states, which extends that of generic dual unitary circuits. In contrast to the known class of solvable states, which relax to the infinite temperature state, these states relax to a family of non-trivial generalised Gibbs ensembles.
  arXiv  Detail & Related papers  (2024-07-31T17:57:14Z)
• Non-equilibrium quantum probing through linear response [41.94295877935867]
  We study the system's response to unitary perturbations, as well as non-unitary perturbations, affecting the properties of the environment. We show that linear response, combined with a quantum probing approach, can effectively provide valuable quantitative information about the perturbation and characteristics of the environment.
  arXiv  Detail & Related papers  (2023-06-14T13:31:23Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Stable and unstable perturbations in universal scaling phenomena far from equilibrium [0.0]
  We study the dynamics of perturbations around nonthermal fixed points associated to universal scaling phenomena in quantum many-body systems far from equilibrium. Our analysis reveals the presence of both stable and unstable perturbations, the latter leading to quasi-exponential deviations from the fixed point in the infrared.
  arXiv  Detail & Related papers  (2022-09-29T15:51:58Z)
• A dynamical theory for one-dimensional fermions with strong two-body losses: universal non-Hermitian Zeno physics and spin-charge separation [0.0]
  We study an interacting one-dimensional gas of spin-1/2 fermions with two-body losses. We show how the two non-equilibrium evolutions build up drastically different charge correlations.
  arXiv  Detail & Related papers  (2022-06-14T13:31:33Z)
• Signatures of a quantum stabilized fluctuating phase and critical dynamics in a kinetically-constrained open many-body system with two absorbing states [0.0]
  We introduce and investigate an open many-body quantum system in which kinetically coherent and dissipative processes compete. Our work shows how the interplay between coherent and dissipative processes as well as constraints may lead to a highly intricate non-equilibrium evolution.
  arXiv  Detail & Related papers  (2022-04-22T07:51:38Z)
• Engineered dissipation induced entanglement transition in quantum spin chains: from logarithmic growth to area law [0.0]
  Recent theoretical work has shown that the competition between coherent unitary dynamics and measurements can give rise to transitions in the entanglement scaling. We consider an engineered dissipation, which stabilizes an entangled phase of a quantum spin$-1/2$ chain. We find that the system undergoes an entanglement transition from a logarithmic growth to an area law when the competition ratio between the unitary evolution and the non-unitary dynamics increases.
  arXiv  Detail & Related papers  (2021-06-18T12:41:01Z)
• Non-equilibrium non-Markovian steady-states in open quantum many-body systems: Persistent oscillations in Heisenberg quantum spin chains [68.8204255655161]
  We investigate the effect of a non-Markovian, structured reservoir on an open Heisenberg spin chain. We establish a coherent self-feedback mechanism as the reservoir couples frequency-dependent to the spin chain.
  arXiv  Detail & Related papers  (2020-06-05T09:16:28Z)

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.