Entanglement asymmetry in conformal field theory and holography

• URL: http://arxiv.org/abs/2407.07969v2
• Date: Fri, 4 Oct 2024 12:33:49 GMT
• Title: Entanglement asymmetry in conformal field theory and holography
• Authors: Francesco Benini, Victor Godet, Amartya Harsh Singh,
• Abstract summary: Entanglement asymmetry is a measure of symmetry breaking in quantum subsystems. We study the asymmetry of a class of excited "coherent states" in conformal quantum field theories with a U(1) symmetry.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Entanglement asymmetry is a measure of symmetry breaking in quantum subsystems, inspired by quantum information theory, particularly suited to study out-of-equilibrium states. We study the entanglement asymmetry of a class of excited "coherent states" in conformal quantum field theories with a U(1) symmetry, employing Euclidean path-integral methods with topological symmetry defects and the replica formalism. We compute, at leading order in perturbation theory, the asymmetry for a variety of subsystems, including finite spherical subregions in flat space, in finite volume, and at positive temperature. We also study its Lorentzian time evolution, showcasing the dynamical restoration of the symmetry due to thermalization, as well as the presence of a quantum Mpemba effect. Our results are universal, and apply in any number of dimensions. We also show that the perturbative entanglement asymmetry is related to the Fisher information metric, which has a known holographic dual called Hollands-Wald canonical energy, and that it is captured by the AdS bulk charge contained in the entanglement wedge.

Related papers

• Diagnosing Strong-to-Weak Symmetry Breaking via Wightman Correlators [20.572965801171225]
  Recent developments have extended the discussion of symmetry and its breaking to mixed states. We propose the Wightman correlator as an alternative diagnostic tool.
  arXiv  Detail & Related papers  (2024-10-12T02:04:40Z)
• Non-invertible duality defects in one, two, and three dimensions via gauging spatially modulated symmetry [15.282090777675679]
  We construct concrete lattice models with non-invertible duality defects via gauging spatially modulated symmetries. Our work provides a unified and systematic analytical framework for constructing exotic duality defects by gauging relevant symmetries.
  arXiv  Detail & Related papers  (2024-09-25T08:52:07Z)
• Entanglement asymmetry and quantum Mpemba effect in two-dimensional free-fermion systems [0.0]
  The quantum Mpemba effect is the counter-intuitive non-equilibrium phenomenon wherein the dynamic restoration of a broken symmetry occurs more rapidly when the initial state exhibits a higher degree of symmetry breaking. Here we focus on a two-dimensional free-fermion lattice employing the entanglement asymmetry as a measure of symmetry breaking. We find that the quantum Mpemba effect is strongly affected by the size of the system in the transverse dimension, with the potential to either enhance or spoil the phenomenon depending on the initial states.
  arXiv  Detail & Related papers  (2024-03-07T13:38:40Z)
• Unraveling the emergence of quantum state designs in systems with symmetry [15.699822139827916]
  We study the emergence of state designs from the random generator states exhibiting symmetries. We find faster convergence of the trace distance during the early time evolution in comparison to the cases when the symmetry is broken. We expect our findings to pave the way for further exploration of deep thermalization and equilibration of closed and open quantum many-body systems.
  arXiv  Detail & Related papers  (2024-02-14T05:35:03Z)
• Efficient quantum algorithms for testing symmetries of open quantum systems [17.55887357254701]
  In quantum mechanics, it is possible to eliminate degrees of freedom by leveraging symmetry to identify the possible physical transitions. Previous works have focused on devising quantum algorithms to ascertain symmetries by means of fidelity-based symmetry measures. We develop alternative symmetry testing quantum algorithms that are efficiently implementable on quantum computers.
  arXiv  Detail & Related papers  (2023-09-05T18:05:26Z)
• Symmetry classification of typical quantum entanglement [10.698681396351494]
  Entanglement entropy of typical quantum states, also known as the Page curve, plays an important role in quantum many-body systems and quantum gravity. Our work elucidates the interplay of symmetry and entanglement in quantum physics and provides characterization of symmetry-enriched quantum chaos.
  arXiv  Detail & Related papers  (2023-01-18T20:41:32Z)
• Duality viewpoint of criticality [10.697358928025304]
  We study quantum many-body systems which are self-dual under duality transformation connecting different symmetry protected topological phases. We provide a geometric explanation of the criticality of these self-dual models. We illustrate our results with several examples in one and two dimensions, which separate two different SPTs.
  arXiv  Detail & Related papers  (2022-09-27T15:13:27Z)
• Entanglement asymmetry as a probe of symmetry breaking [0.0]
  In extended quantum systems, quantifying how much a symmetry is broken is intrinsically bound to the subsystem of interest. We introduce a subsystem measure of symmetry breaking that we dub entanglement asymmetry. We find, expectedly, that larger is the subsystem, slower is the restoration, but also the counterintuitive result that more the symmetry is initially broken, faster it is restored.
  arXiv  Detail & Related papers  (2022-07-29T14:03:30Z)
• Symmetry protected entanglement in random mixed states [0.0]
  We study the effect of symmetry on tripartite entanglement properties of typical states in symmetric sectors of Hilbert space. In particular, we consider Abelian symmetries and derive an explicit expression for the logarithmic entanglement negativity of systems with $mathbbZ_N$ and $U(1)$ symmetry groups.
  arXiv  Detail & Related papers  (2021-11-30T19:00:07Z)
• Information retrieval and eigenstates coalescence in a non-Hermitian quantum system with anti-$\mathcal{PT}$ symmetry [15.273168396747495]
  Non-Hermitian systems with parity-time reversal ($mathcalPT$) or anti-$mathcalPT$ symmetry have attracted a wide range of interest owing to their unique characteristics and counterintuitive phenomena. We implement a Floquet Hamiltonian of a single qubit with anti-$mathcalPT$ symmetry by periodically driving a dissipative quantum system of a single trapped ion.
  arXiv  Detail & Related papers  (2021-07-27T07:11:32Z)
• $\PT$ Symmetry and Renormalisation in Quantum Field Theory [62.997667081978825]
  Quantum systems governed by non-Hermitian Hamiltonians with $PT$ symmetry are special in having real energy eigenvalues bounded below and unitary time evolution. We show how $PT$ symmetry may allow interpretations that evade ghosts and instabilities present in an interpretation of the theory within a Hermitian framework.
  arXiv  Detail & Related papers  (2021-03-27T09:46:36Z)

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.