Lindblad many-body scars

• URL: http://arxiv.org/abs/2503.06665v2
• Date: Tue, 11 Mar 2025 08:59:00 GMT
• Title: Lindblad many-body scars
• Authors: Antonio M. García-García, Zhongling Lu, Lucas Sá, Jacobus J. M. Verbaarschot,
• Abstract summary: We study many-body scars in many-body quantum chaotic systems coupled to a Markovian bath.<n>Scars are defined as simultaneous eigenvectors of the Hamiltonian and dissipative parts of the vectorized Liouvillian.<n>Scars have distinct features such as a strong dependence on the partition choice and, in certain cases, a large entanglement.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: Quantum many-body scars have received much recent attention for being both intriguing non-ergodic states in otherwise quantum chaotic systems and promising candidates to encode quantum information efficiently. So far, these studies have mostly been restricted to Hermitian systems. Here, we study many-body scars in many-body quantum chaotic systems coupled to a Markovian bath, which we term Lindblad many-body scars. They are defined as simultaneous eigenvectors of the Hamiltonian and dissipative parts of the vectorized Liouvillian. Importantly, because their eigenvalues are purely real, they are not related to revivals. The number and nature of the scars depend on both the symmetry of the Hamiltonian and the choice of jump operators. For a dissipative four-body Sachdev-Ye-Kitaev (SYK) model with $N$ fermions, either Majorana or complex, we construct analytically some of these Lindblad scars while others could only be obtained numerically. As an example of the former, we identify $N/2+1$ scars for complex fermions due to the $U(1)$ symmetry of the model and two scars for Majorana fermions as a consequence of the parity symmetry. Similar results are obtained for a dissipative XXZ spin chain. We also characterize the physical properties of Lindblad scars. First, the operator size is independent of the disorder realization and has a vanishing variance. By contrast, the operator size for non-scarred states, believed to be quantum chaotic, is well described by a distribution centered around a specific size and a finite variance, which could be relevant for a precise definition of the eigenstate thermalization hypothesis in dissipative quantum chaos. Moreover, the entanglement entropy of these scars has distinct features such as a strong dependence on the partition choice and, in certain cases, a large entanglement.

Related papers

• Non-equilibirum physics of density-difference dependent Hamiltonian: Quantum Scarring from Emergent Chiral Symmetry [0.0]
  We show the existence of quantum many-body scars in the density-difference-dependent Hamiltonian.<n>We find two different classes of quantum scars; a charge density wave ordered scar and an edge-mode scar.<n>For each, we propose simple mechanisms that give rise to these scars which may be applicable to other systems.
  arXiv  Detail & Related papers  (2025-03-07T09:09:24Z)
• Quantum many-body scars from unstable periodic orbits [30.38539960317671]
  Unstable periodic orbits play a key role in the theory of chaos. We find the first quantum many-body scars originating from UPOs of a chaotic phase space.
  arXiv  Detail & Related papers  (2024-01-12T19:00:02Z)
• Stability of the many-body scars in fermionic spin-1/2 models [0.0]
  We study the stability of the many-body scars in spin-1/2 fermionic systems under the most typical perturbations in relevant materials. We find that some families of scars are completely insensitive to certain perturbations. In small systems and at small perturbations, we identify and describe an additional stability exhibited by the many-body scars.
  arXiv  Detail & Related papers  (2023-05-26T18:00:03Z)
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders [37.69303106863453]
  We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
  arXiv  Detail & Related papers  (2023-05-11T15:57:27Z)
• Duality between open systems and closed bilayer systems, and thermofield double states as quantum many-body scars [49.1574468325115]
  We find a duality between open many-body systems governed by the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation. Under this duality, the identity operator on the open system side maps to the thermofield double state. We identify broad classes of many-body open systems with nontrivial explicit eigen operators $Q$ of the Lindbladian superoperator.
  arXiv  Detail & Related papers  (2023-04-06T15:38:53Z)
• Tower of quantum scars in a partially many-body localized system [0.0]
  We show how one can find disordered Hamiltonians hosting a tower of scars by adapting a known method for finding parent Hamiltonians. We demonstrate that localization stabilizes scar revivals of initial states with support both inside and outside the scar subspace.
  arXiv  Detail & Related papers  (2023-01-04T16:10:24Z)
• Continuous phase transition induced by non-Hermiticity in the quantum contact process model [44.58985907089892]
  How the property of quantum many-body system especially the phase transition will be affected by the non-hermiticity remains unclear. We show that there is a continuous phase transition induced by the non-hermiticity in QCP. We observe that the order parameter and susceptibility display infinitely even for finite size system, since non-hermiticity endows universality many-body system with different singular behaviour from classical phase transition.
  arXiv  Detail & Related papers  (2022-09-22T01:11:28Z)
• Quantum local random networks and the statistical robustness of quantum scars [68.8204255655161]
  We investigate the emergence of quantum scars in a general ensemble of random Hamiltonians. We find a class of scars, that we call "statistical" We study the scaling of the number of statistical scars with system size.
  arXiv  Detail & Related papers  (2021-07-02T07:53:09Z)
• Exact many-body scars and their stability in constrained quantum chains [55.41644538483948]
  Quantum scars are non-thermal eigenstates characterized by low entanglement entropy. We study the response of these exact quantum scars to perturbations by analysing the scaling of the fidelity susceptibility with system size.
  arXiv  Detail & Related papers  (2020-11-16T19:05:50Z)

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.