Biorthogonal Dynamical Quantum Phase Transitions in a Non-Hermitian Kitaev Chain

• URL: http://arxiv.org/abs/2605.15982v1
• Date: Fri, 15 May 2026 14:15:13 GMT
• Title: Biorthogonal Dynamical Quantum Phase Transitions in a Non-Hermitian Kitaev Chain
• Abstract summary: We extend a biorthogonal framework to investigate dynamical quantum phase transitions in non-Hermitian superconductors.<n>Within this framework, we find that the critical times at which dynamical quantum phase transitions occur differ from those based on the conventional self-normal approaches.
• Score: 2.788245388933323
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Dynamical quantum phase transitions in non-Hermitian systems pose fundamental challenges due to the intrinsic biorthogonality of their eigenstates. In this work, we extend a biorthogonal framework to investigate dynamical quantum phase transitions in non-Hermitian topological superconductors. Taking the non-Hermitian Kitaev chain as a prototypical model, we construct an associated-state formalism and reformulate the Loschmidt rate function, dynamical topological order parameter, and dynamical Fisher zeros. Within this framework, we find that the critical times at which dynamical quantum phase transitions occur differ from those based on the conventional self-normal approaches. We further analyze momentum-resolved subsystems at critical momenta and demonstrate the robustness of the biorthogonal framework. Our work highlights the essential role of biorthogonality in nonequilibrium dynamics and establishes a consistent theoretical framework for dynamical quantum phase transitions in non-Hermitian topological superconductors.

Related papers

• Hydrodynamic tails in chaotic spin chains with quantum group symmetry [36.94429692322632]
  We show that quantum group symmetry provides a novel mechanism for anomalous hydrodynamics in chaotic systems.<n>We study the dynamics of local operators carrying $U(1)$ charge in non-integrable lattice models that also have quantum group symmetry.
  arXiv  Detail & Related papers  (2026-06-18T18:34:52Z)
• Quantum state texture of dynamical criticality [0.0]
  We investigate the role of quantum state texture in dynamical quantum phase transitions.<n>We introduce the notion of rugosity, a measure of the quantum state texture.<n>Our results place rugosity within a broader class of quantities diagnosing dynamical quantum phase transitions.
  arXiv  Detail & Related papers  (2026-05-05T18:01:01Z)
• Realization of Trapped Ion Dynamics in the Strong-Field Regime and Non-Markovianity [33.781064984238775]
  We experimentally investigate the dynamics of a trapped ion where the Rabi frequency (Omega) approaches the vibrational mode frequency (nu)<n>Using quantum state tomography, we reconstruct the density matrix and track its evolution to assess non-Markovianity.<n>Our findings establish a pathway for using trapped-ion platforms to investigate non-Markovianity, coherent control, and the fundamental behavior of open quantum systems in extreme regimes.
  arXiv  Detail & Related papers  (2025-10-23T11:25:09Z)
• Probing emergent prethermal dynamics and resonant melting on a programmable quantum simulator [28.28351393962583]
  dynamics of isolated quantum systems following a sudden quench plays a central role in many areas of material science, high-energy physics, and quantum chemistry.<n>Here, we use a programmable neutral atom quantum simulator to explore quench dynamics in spin models with up to 180 qubits.<n>We trace their robustness to Floquet-like prethermal steady states that are stabilized over long emergent timescales.
  arXiv  Detail & Related papers  (2025-10-13T17:58:04Z)
• Anatomy of Non-Hermitian Dynamical Quantum Phase Transitions [0.0]
  We establish a unified framework for dynamical quantum phase transitions (DQPTs) in non-Hermitian systems.<n>We show that non-biorthogonal quenches from non-Hermitian to Hermitian Hamiltonians under chiral symmetry exhibit emergent topological characteristics of DQPTs.<n>This work establishes fundamental geometric and topological principles governing quantum criticality in open systems, with implications for quantum sensing and many-body physics in dissipative environments.
  arXiv  Detail & Related papers  (2025-07-21T08:40:46Z)
• Topological Phase Transitions and Mixed State Order in a Hubbard Quantum Simulator [36.556659404501914]
  Topological phase transitions challenge conventional paradigms in many-body physics.<n>We observe such a transition between one-dimensional crystalline symmetry-protected topological phases.<n>Our results demonstrate how topology and information influence quantum phase transitions.
  arXiv  Detail & Related papers  (2025-05-22T17:58:35Z)
• Quantum coarsening and collective dynamics on a programmable simulator [27.84599956781646]
  We experimentally study collective dynamics across a (2+1)D Ising quantum phase transition.<n>By deterministically preparing and following the evolution of ordered domains, we show that the coarsening is driven by the curvature of domain boundaries.<n>We quantitatively explore these phenomena and further observe long-lived oscillations of the order parameter, corresponding to an amplitude (Higgs) mode.
  arXiv  Detail & Related papers  (2024-07-03T16:29:12Z)
• Biorthogonal Dynamical Quantum Phase Transitions in Non-Hermitian Systems [5.50622466592942]
  We develop a comprehensive framework for studying biorthogonal dynamical quantum phase transitions in non-Hermitian systems. We discover that the periodicity of biorthogonal dynamical quantum phase transitions depends on whether the two-level subsystem at the critical momentum oscillates or reaches a steady state.
  arXiv  Detail & Related papers  (2023-07-06T13:54:47Z)
• Indication of critical scaling in time during the relaxation of an open quantum system [34.82692226532414]
  Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
  arXiv  Detail & Related papers  (2022-08-10T05:59:14Z)
• Dynamical Topological Quantum Phase Transitions at Criticality [0.0]
  We contribute to expanding the systematic understanding of the interrelation between the equilibrium quantum phase transition and the dynamical quantum phase transition (DQPT) Specifically, we find that dynamical quantum phase transition relies on the existence of massless it propagating quasiparticles as signaled by their impact on the Loschmidt overlap. The underlying two dimensional model reveals gapless modes, which do not couple to the dynamical quantum phase transitions, while relevant massless quasiparticles present periodic nonanalytic signatures on the Loschmidt amplitude.
  arXiv  Detail & Related papers  (2021-04-09T13:38:39Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• Signatures of topology in quantum quench dynamics and their interrelation [0.0]
  We study the conditions for the appearance of entanglement spectrum crossings, dynamical quantum phase transitions, and dynamical Chern numbers. For non-interacting models, we show that in general there is no direct relation between these three quantities.
  arXiv  Detail & Related papers  (2020-03-17T18:15:36Z)

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.