Quantum information scrambling in adiabatically-driven critical systems

• URL: http://arxiv.org/abs/2408.02735v1
• Date: Mon, 5 Aug 2024 18:00:05 GMT
• Title: Quantum information scrambling in adiabatically-driven critical systems
• Authors: Ricardo Puebla, Fernando J. Gómez-Ruiz,
• Abstract summary: Quantum information scrambling refers to the spread of the initially stored information over many degrees of freedom of a quantum many-body system. We extend the notion of quantum information scrambling to critical quantum many-body systems undergoing an adiabatic evolution.
• Score: 49.1574468325115
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum information scrambling refers to the spread of the initially stored information over many degrees of freedom of a quantum many-body system. Information scrambling is intimately linked to the thermalization of isolated quantum many-body systems and has been typically studied in a sudden quench scenario. Here we extend the notion of quantum information scrambling to critical quantum many-body systems undergoing an adiabatic evolution. In particular, we analyze how the symmetry-breaking information of an initial state is scrambled in adiabatically-driven integrable systems, such as the Lipkin-Meshkov-Glick and quantum Rabi model. Following a time-dependent protocol that drives the system from a symmetry-breaking to a normal phase, we show how the initial information is scrambled even for perfect adiabatic evolutions as indicated by the expectation value of a suitable observable. We detail the underlying mechanism for quantum information scrambling, its relation to ground- and excited-state quantum phase transitions and quantify the degree of scrambling in terms of the number of eigenstates that participate in the encoding of the initial symmetry-breaking information. While the energy of the final state remains unaltered in an adiabatic protocol, the relative phases among eigenstates are scrambled and so is the symmetry-breaking information. We show that a potential information retrieval, following a time-reversed protocol, is hindered by small perturbations as indicated by a vanishingly small Loschmidt echo and out-of-time-ordered correlators. The reported phenomenon is amenable for its experimental verification and may help in the understanding of information scrambling in critical quantum many-body systems.

Related papers

• Observation of quantum information collapse-and-revival in a strongly-interacting Rydberg atom array [23.95382881394397]
  We present the first measurements of out-of-time correlators and Holevo information in a Rydberg atom array. By leveraging these tools, we observe a novel qu-temporal collapse-revival behaviour of quantum information. Our experiment sheds light on the unique information dynamics in many-body systems with kinetic constraints.
  arXiv  Detail & Related papers  (2024-10-20T17:44:39Z)
• Shortcuts to adiabaticity in open quantum critical systems [0.0]
  We study shortcuts to adiabaticity (STA) through counterdiabatic driving in quantum critical systems. We evaluate unitary as well as non-unitary controls, such that the system density matrix follows a prescribed trajectory. We expect the counterdiabatic protocol studied here can be of fundamental importance for understanding STA in many-body open quantum systems.
  arXiv  Detail & Related papers  (2024-09-10T10:09:07Z)
• Quantum Coding Transitions in the Presence of Boundary Dissipation [0.3441021278275805]
  We study the fate of quantum information in a one-dimensional qudit chain. unitary evolution in the presence of boundary dissipation allows this information to remain partially protected. For strong enough dissipation, this information is completely lost to the dissipative environment.
  arXiv  Detail & Related papers  (2023-04-05T18:00:08Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Directional scrambling of quantum information in helical multiferroics [0.0]
  Local excitations as carriers of quantum information spread out in the system in ways governed by the underlying interaction and symmetry. Character and direction dependence of quantum scrambling can be inferred from the out-of-time-ordered commutators. We study and quantify the directionality of quantum information propagation in oxide-based helical spin systems.
  arXiv  Detail & Related papers  (2021-12-20T17:58:19Z)
• Tracing Information Flow from Open Quantum Systems [52.77024349608834]
  We use photons in a waveguide array to implement a quantum simulation of the coupling of a qubit with a low-dimensional discrete environment. Using the trace distance between quantum states as a measure of information, we analyze different types of information transfer.
  arXiv  Detail & Related papers  (2021-03-22T16:38:31Z)
• Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
  We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor. We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
  arXiv  Detail & Related papers  (2021-01-21T22:18:49Z)
• Quantum information spreading in a disordered quantum walk [50.591267188664666]
  We design a quantum probing protocol using Quantum Walks to investigate the Quantum Information spreading pattern. We focus on the coherent static and dynamic disorder to investigate anomalous and classical transport. Our results show that a Quantum Walk can be considered as a readout device of information about defects and perturbations occurring in complex networks.
  arXiv  Detail & Related papers  (2020-10-20T20:03:19Z)
• Quantum scrambling and the growth of mutual information [0.0]
  Quantum information scrambling refers to the loss of local recoverability of quantum information. We prove that the growth of entanglement as quantified by the mutual information is lower bounded by the time-dependent change of Out-Of-Time-Ordered Correlator.
  arXiv  Detail & Related papers  (2020-02-07T16:01:26Z)
• Einselection from incompatible decoherence channels [62.997667081978825]
  We analyze an open quantum dynamics inspired by CQED experiments with two non-commuting Lindblad operators. We show that Fock states remain the most robust states to decoherence up to a critical coupling.
  arXiv  Detail & Related papers  (2020-01-29T14:15:19Z)

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.