Smearing of dynamical quantum phase transitions in dissipative free-fermion systems

• URL: http://arxiv.org/abs/2509.21585v1
• Date: Thu, 25 Sep 2025 20:59:20 GMT
• Title: Smearing of dynamical quantum phase transitions in dissipative free-fermion systems
• Authors: Gilles Parez, Vincenzo Alba,
• Abstract summary: We investigate the Lindblad dynamics of the reduced Loschmidt echo (RLE) in dissipative quadratic fermion systems.<n>We show that nonanalyticities that are present in the corresponding unitary dynamics can survive under purely gain or purely loss processes.<n>We also show that the subtle interplay between dissipative and unitary dynamics gives rise to a nested lightcone structure in the dynamics of the RLE.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the Lindblad dynamics of the reduced Loschmidt echo (RLE) in dissipative quadratic fermion systems. Focusing on the case of gain and loss dissipation, we derive general conditions for the persistence of nonanalyticities (so-called dynamical quantum phase transitions) in the time evolution of the RLE. We show that nonanalyticities that are present in the corresponding unitary dynamics can survive under purely gain or purely loss processes, but are completely smeared out as soon as both channels are active, even if one is infinitesimally small. These results hold for generic dissipative Gaussian evolutions, and are illustrated explicitly for the quench from the N\'eel state in the tight-binding chain, as well as for the quantum Ising chain. We also show that the subtle interplay between dissipative and unitary dynamics gives rise to a nested lightcone structure in the dynamics of the RLE, even in cases where this structure is not present in the corresponding unitary evolution, due to coherent cancellations in the phase structure of the wavefunction.

Related papers

• From Quantum Chaos to a Reversed Quantum Disentangled Liquid in a Disorder-Free Spin Ladder [0.0]
  We investigate a spin-1/2 ladder with asymmetric XY leg couplings and tunable Ising interactions on the rungs.<n>We identify the microscopic origin of many-body localization (MBL) in this setting.<n>We show the emergence of a reversed quantum disentangled liquid (reversed-QDL), where the light species thermalizes while the heavy species remains localized.
  arXiv  Detail & Related papers  (2026-02-23T08:20:36Z)
• Generalised fractional Rabi problem [35.18016233072556]
  Fractional quantum dynamics provides a natural framework to capture nonlocal temporal behavior and memory effects in quantum systems.<n>In this work, we analyze the physical consequences of fractional-order quantum evolution using a Green's function formulation based on the Caputo fractional derivative.<n>We find that even in the absence of external driving, the static Hamiltonian term induces non-trivial spin dynamics with damping features directly linked to the fractional temporal nonlocality.
  arXiv  Detail & Related papers  (2025-10-09T12:51:57Z)
• Unveiling coherent dynamics in non-Markovian open quantum systems: exact expression and recursive perturbation expansion [44.99833362998488]
  We introduce a systematic framework to derive the effective Hamiltonian governing the coherent dynamics of non-Markovian open quantum systems.<n>Applying our framework to paradigmatic spin systems, we reveal how environmental correlations influence energy shifts and eigenbasis rotations.
  arXiv  Detail & Related papers  (2025-06-04T15:55:22Z)
• Diagnosing Quantum Many-body Chaos in Non-Hermitian Quantum Spin Chain via Krylov Complexity [15.406396871608624]
  We investigate the phase transitions from chaotic to non-chaotic dynamics in a quantum spin chain with a local non-Hermitian disorder.<n>As the disorder strength increases, the emergence of non-chaotic dynamics is qualitatively captured through the suppressed growth of Krylov complexity.
  arXiv  Detail & Related papers  (2025-01-27T12:09:49Z)
• Gapless Floquet topology [40.2428948628001]
  We study the existence of topological edge zero- and pi-modes despite the lack of bulk gaps in the quasienergy spectrum. We numerically study the effect of interactions, which give a finite lifetime to the edge modes in the thermodynamic limit with the decay rate consistent with Fermi's Golden Rule.
  arXiv  Detail & Related papers  (2024-11-04T19:05:28Z)
• Signatures of Quantum Phase Transitions in Driven Dissipative Spin Chains [0.0]
  We show that a driven-dissipative quantum spin chain exhibits a peculiar sensitivity to the ground-state quantum phase transition. We develop a versatile analytical approach that becomes exact with vanishing dissipation.
  arXiv  Detail & Related papers  (2024-05-30T22:25:15Z)
• Probing Dynamical Sensitivity of a Non-KAM System Through Out-of-Time-Order Correlators [0.0]
  Non-KAM systems offer a fast route to classical chaos through an abrupt breaking of invariant phase space tori. We employ out-of-time-order correlators (OTOCs) to study the dynamical sensitivity of a perturbed non-KAM system in the quantum limit. Our findings suggest that the short-time dynamics remain relatively more stable and show the exponential growth found in the literature for unstable fixed points.
  arXiv  Detail & Related papers  (2023-06-07T07:31:16Z)
• Injection and nucleation of topological defects in the quench dynamics of the Frenkel-Kontorova model [30.733286944793527]
  Topological defects have strong impact on both elastic and inelastic properties of materials. We investigate the possibility to controllably inject topological defects in quantum simulators of solid state lattice structures.
  arXiv  Detail & Related papers  (2022-10-26T17:59:57Z)
• Theory of the Loschmidt echo and dynamical quantum phase transitions in disordered Fermi systems [0.0]
  We develop the theory of the Loschmidt echo and dynamical phase transitions in non-interacting strongly disordered Fermi systems after a quench. In finite systems the Loschmidt echo displays zeros in the complex time plane that depend on the random potential realization. We show that this dynamical phase transition can be understood as a transition in the distribution function of the smallest eigenvalue of the Loschmidt matrix.
  arXiv  Detail & Related papers  (2022-09-22T10:04:45Z)
• 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)
• Reminiscence of classical chaos in driven transmons [117.851325578242]
  We show that even off-resonant drives can cause strong modifications to the structure of the transmon spectrum rendering a large part of it chaotic. Results lead to a photon number threshold characterizing the appearance of chaos-induced quantum demolition effects.
  arXiv  Detail & Related papers  (2022-07-19T16:04:46Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Unification of Random Dynamical Decoupling and the Quantum Zeno Effect [68.8204255655161]
  We show that the system dynamics under random dynamical decoupling converges to a unitary with a decoupling error that characteristically depends on the convergence speed of the Zeno limit. This reveals a unification of the random dynamical decoupling and the quantum Zeno effect.
  arXiv  Detail & Related papers  (2021-12-08T11:41:38Z)
• 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)

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.