Integrability versus chaos in the steady state of many-body open quantum systems

• URL: http://arxiv.org/abs/2412.16041v1
• Date: Fri, 20 Dec 2024 16:42:20 GMT
• Title: Integrability versus chaos in the steady state of many-body open quantum systems
• Authors: Josef Richter, Lucas Sá, Masudul Haque,
• Abstract summary: Lindblad description of an open quantum system gives rise to two types of integrability. We combine level spacing statistics and an extension of the eigenstate thermalization hypothesis to open quantum systems. We show that one can effectively use the operator-size distribution to distinguish chaotic and integrable steady states.
• Score: 0.0
• License:
• Abstract: The Lindblad description of an open quantum system gives rise to two types of integrability, since the nonequilibrium steady state can be integrable independently of the Liouvillian. Taking boundary-driven and dephasing spin chains as a representative example, we discriminate Liouvillian and steady-state chaos by combining level spacing statistics and an extension of the eigenstate thermalization hypothesis to open quantum systems. Moreover, we analyze the structure of the steady states by expanding it in the basis of Pauli strings and comparing the weight of strings of different lengths. We show that the natural expectation that integrable steady states are "simple" (i.e., built from few-body local operators) does not hold: the steady states of both chaotic and integrable models have relevant contributions coming from Pauli strings of all possible lengths, including long-range and many-body interactions. Nevertheless, we show that one can effectively use the operator-size distribution to distinguish chaotic and integrable steady states.

Related papers

• 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)
• Quantum correlations in the steady state of light-emitter ensembles from perturbation theory [0.0]
  In systems of light emitters subject to single-emitter or two-emitter driving, the steady state perturbed away from the U(1) limit exhibits spin squeezing. Our main result is that in systems of light emitters subject to single-emitter or two-emitter driving, the steady state perturbed away from the U(1) limit generically exhibits spin squeezing.
  arXiv  Detail & Related papers  (2024-02-26T18:50:30Z)
• Dissipative preparation and stabilization of many-body quantum states in a superconducting qutrit array [55.41644538483948]
  We present and analyze a protocol for driven-dissipatively preparing and stabilizing a manifold of quantum manybody entangled states. We perform theoretical modeling of this platform via pulse-level simulations based on physical features of real devices. Our work shows the capacity of driven-dissipative superconducting cQED systems to host robust and self-corrected quantum manybody states.
  arXiv  Detail & Related papers  (2023-03-21T18:02:47Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Growth of entanglement of generic states under dual-unitary dynamics [77.34726150561087]
  Dual-unitary circuits are a class of locally-interacting quantum many-body systems. In particular, they admit a class of solvable" initial states for which, in the thermodynamic limit, one can access the full non-equilibrium dynamics. We show that in this case the entanglement increment during a time step is sub-maximal for finite times, however, it approaches the maximal value in the infinite-time limit.
  arXiv  Detail & Related papers  (2022-07-29T18:20:09Z)
• Hidden Bethe states in a partially integrable model [4.965221313169878]
  We find integrable excited eigenstates corresponding to the totally anti-symmetric irreducible representation of the permutation operator in the otherwise non-integrable subspaces. We identify the integrable eigenstates that survive in a deformation of the Hamiltonian away from its integrable point.
  arXiv  Detail & Related papers  (2022-05-06T18:00:09Z)
• Unconventional mechanism of virtual-state population through dissipation [125.99533416395765]
  We report a phenomenon occurring in open quantum systems by which virtual states can acquire a sizable population in the long time limit. This means that the situation where the virtual state remains unpopulated can be metastable. We show how these results can be relevant for practical questions such as the generation of stable and metastable entangled states in dissipative systems of interacting qubits.
  arXiv  Detail & Related papers  (2022-02-24T17:09:43Z)
• Onset of many-body quantum chaos due to breaking integrability [0.0]
  We argue that the onset of quantum chaos can be described as a Fock-space delocalization process. The integrability-breaking perturbation introduces hopping in this Fock space, and chaos sets in when this hopping delocalizes the many-body eigenstates in this space. In either case, the perturbation strength at the onset of chaos scales to zero in the usual thermodynamic limit.
  arXiv  Detail & Related papers  (2021-12-29T18:58:09Z)
• Non-equilibrium stationary states of quantum non-Hermitian lattice models [68.8204255655161]
  We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner. We focus on the quantum steady states of such models for both fermionic and bosonic systems.
  arXiv  Detail & Related papers  (2021-03-02T18:56:44Z)
• Stability of quantum eigenstates and kinetics of wave function collapse in a fluctuating environment [0.0]
  The work analyzes the stability of the quantum eigenstates when they are submitted to fluctuations. In the limit of sufficiently slow kinetics, the quantum eigenstates show to remain stationary configurations. The work shows that the final stationary eigenstate depends by the initial configuration of the superposition of states.
  arXiv  Detail & Related papers  (2020-11-25T10:41:53Z)
• Long-Range Coherence and Multiple Steady States in a Lossy Qubit Array [0.0]
  We show that a simple experimental setting of a locally pumped and lossy array of two-level quantum systems can stabilize states with strong long-range coherence. We show there is an extensive set of steady-state density operators, from minimally to maximally entangled.
  arXiv  Detail & Related papers  (2020-04-16T22:36:22Z)

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.