Stabilizer entropy in non-integrable quantum evolutions

• URL: http://arxiv.org/abs/2412.10228v2
• Date: Tue, 28 Jan 2025 10:05:24 GMT
• Title: Stabilizer entropy in non-integrable quantum evolutions
• Authors: Jovan Odavić, Michele Viscardi, Alioscia Hamma,
• Abstract summary: Entanglement and stabilizer entropy are involved in the onset of complex behavior in quantum many-body systems. We study the dynamics of entanglement, stabilizer entropy, and a novel quantity assessing their interplay.
• Score: 0.3277163122167434
• License:
• Abstract: Entanglement and stabilizer entropy are both involved in the onset of complex behavior in quantum many-body systems. Their interplay is at the root of complexity of simulability, scrambling, thermalization and typicality. In this work, we study the dynamics of entanglement, stabilizer entropy, and a novel quantity assessing their interplay - called anti-flatness, after a quantum quench of a spin chain. We find that free-fermion theories show a gap in the long-time behavior of these resources compared to their random matrix theory value while non-integrable models saturate it.

Related papers

• 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. 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)
• Stable infinite-temperature eigenstates in SU(2)-symmetric nonintegrable models [0.0]
  A class of nonintegrable bond-staggered models is endowed with a large number of zero-energy eigenstates and possesses a non-Abelian internal symmetry. We show that few-magnon zero-energy states have an exact analytical description, allowing us to build a basis of low-entangled fixed-separation states.
  arXiv  Detail & Related papers  (2024-07-16T17:48:47Z)
• Emergent Universal Quench Dynamics in Randomly Interacting Spin Models [20.38924078291244]
  We report the experimental observation of universal dynamics by monitoring the spin depolarization process in a solid-state NMR system. We discover a remarkable phenomenon that these correlation functions obey a universal functional form. Our observation demonstrates the existence of universality even in non-equilibrium dynamics at high temperatures.
  arXiv  Detail & Related papers  (2024-06-11T18:00:10Z)
• Continuous Phase Transition in Anyonic-PT Symmetric Systems [4.28599518663131]
  We reveal the continuous phase transition in anyonic-PT symmetric systems, contrasting with the discontinuous phase transition corresponding to the discrete (anti-) PT symmetry. By exploring the mathematics and physical meaning of the negative entropy in open quantum systems, we connect the negative non-Hermitian quantum R'enyi entropy and negative quantum conditional entropy, opening up a new journey to rigorously investigate the negative entropy in open quantum systems.
  arXiv  Detail & Related papers  (2023-12-16T06:45:07Z)
• Disorder-tunable entanglement at infinite temperature [18.552959588855124]
  We build a custom-built superconducting qubit ladder to realize non-thermalizing states with rich entanglement structures. Despite effectively forming an "infinite" temperature ensemble, these states robustly encode quantum information far from equilibrium.
  arXiv  Detail & Related papers  (2023-12-15T21:30:38Z)
• Sunburst quantum Ising model under interaction quench: entanglement and role of initial state coherence [0.0]
  We study the non-equilibrium dynamics of an isolated bipartite quantum system under interaction quench. We show the importance of the role played by the coherence of the initial state in deciding the nature of thermalization.
  arXiv  Detail & Related papers  (2022-12-23T11:57:47Z)
• 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)
• Sensing quantum chaos through the non-unitary geometric phase [62.997667081978825]
  We propose a decoherent mechanism for sensing quantum chaos. The chaotic nature of a many-body quantum system is sensed by studying the implications that the system produces in the long-time dynamics of a probe coupled to it.
  arXiv  Detail & Related papers  (2021-04-13T17:24:08Z)
• Glassy quantum dynamics of disordered Ising spins [0.0]
  We study the out-of-equilibrium dynamics in the quantum Ising model with power-law interactions and positional disorder. Numerically, we confirm that glassy behavior persists for finite system sizes and sufficiently strong disorder.
  arXiv  Detail & Related papers  (2021-04-01T09:08:27Z)
• Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays [41.74498230885008]
  We experimentally investigate non-equilibrium dynamics following rapid quenches in a many-body system composed of 3 to 200 strongly interacting qubits in one and two spatial dimensions. We discover that scar revivals can be stabilized by periodic driving, which generates a robust subharmonic response akin to discrete time-crystalline order.
  arXiv  Detail & Related papers  (2020-12-22T19:00:02Z)
• Entanglement revivals as a probe of scrambling in finite quantum systems [0.0]
  We show that for integrable systems the height of the dip of the entanglement of an interval of fixed length decays as a power law with the total system size. While for integrable systems the height of the dip of the entanglement of an interval of fixed length decays as a power law with the total system size, upon breaking integrability a much faster decay is observed, signalling strong scrambling.
  arXiv  Detail & Related papers  (2020-04-18T21:30:30Z)

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.