Entanglement Dynamics by (Non-)Unitary Local Operator Quenches in a 2D Holographic CFT

• URL: http://arxiv.org/abs/2512.18781v1
• Date: Sun, 21 Dec 2025 15:50:58 GMT
• Title: Entanglement Dynamics by (Non-)Unitary Local Operator Quenches in a 2D Holographic CFT
• Authors: Weibo Mao, Akihiro Miyata, Masahiro Nozaki, Farzad Omidi,
• Abstract summary: We act with a primary operator on the vacuum state and then time-evolve it with the sequence of the Euclidean and Lorentzian time evolutions.<n>Two-dimensional holographic conformal field theories describe the systems under consideration.
• Score: 4.353131724919497
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we investigate the time evolution of entanglement entropy and mutual information for the spatially-infinite systems where we act with a primary operator on the vacuum state and then time-evolve it with the sequence of the Euclidean and Lorentzian time evolutions. Two-dimensional holographic conformal field theories describe the systems under consideration in this paper. The Euclidean time evolution is induced by the Rindler Hamiltonian and behaves as the regulator that tames the divergence induced by the local operator, while the Lorentzian one is induced by the uniform Hamiltonian. Under these time evolutions, we investigate the time ordering effect of the Rindler Euclidean and uniform Lorentzian time evolution operators. Consequently, we find the remarkable differences between those time evolutions are induced by whether those are unitary or non-unitary. Especially, we find that the unitary time evolution induces the late-time logarithmic growth of the entanglement entropy, while the non-unitary time evolution induces the late-time constant behavior. Furthermore, we investigate the dual gravity of the systems under consideration. Especially, we investigate the gravity duals of the systems with the insertion of the heavy primary operator and show that it is a black brane with a spacetime-dependent horizon.

Related papers

• Relaxation Process During Complex Time Evolution In Two-Dimensional Integrable and Chaotic CFTs [6.631221795940245]
  We investigate the complex time evolution of a vacuum state with the insertion of a local primary operator in conformal field theories (2d CFTs)<n>This complex time evolution can be considered as a composite process constructed from Lorentzian time evolution and a Euclidean evolution induced by a post-selected measurement.
  arXiv  Detail & Related papers  (2026-01-14T08:51:01Z)
• Time Ordering Effects and Destruction of Quasiparticles in Two-dimensional Holographic CFTs [1.1510009152620668]
  We find that the time ordering of Euclidean and Lorentzian time evolutions affects the behavior of bipartite entanglement and non-local correlation.<n>We also examine how the decay of the quasiparticle influences the bipartite entanglement and non-local correlation.
  arXiv  Detail & Related papers  (2025-08-11T05:56:01Z)
• Temporal evolution of a forced optomechanical system with linear and quadratic field -- mechanical oscillator couplings [44.99833362998488]
  We consider the case of a non-driven system and find its exact time evolution operator.<n>We consider the case of a forced system whose time evolution operator is obtained in an approximate form.
  arXiv  Detail & Related papers  (2024-12-16T17:02:57Z)
• Exactly solvable non-unitary time evolution in quantum critical systems I: Effect of complex spacetime metrics [0.0]
  We study exactly solvable non-unitary time evolutions in one-dimensional quantum critical systems. In this work, we study the universal features of such non-unitary time evolutions based on exactly solvable setups.
  arXiv  Detail & Related papers  (2024-06-24T18:19:10Z)
• Local operator quench induced by two-dimensional inhomogeneous and homogeneous CFT Hamiltonians [0.9374652839580183]
  We explore non-equilibrium processes in conformal field theories (2d CFTs) due to the growth of operators induced by inhomogeneous and homogeneous Hamiltonians. Our main finding is that in the holographic CFTs, the non-unitary time evolution induced by the inhomogeneous Hamiltonian can retain the initial state information longer than in the unitary time evolution.
  arXiv  Detail & Related papers  (2024-03-23T14:04:38Z)
• A magnetic clock for a harmonic oscillator [89.99666725996975]
  We study how the quantum dynamics transforms into a classical-like behaviour when conditions related with macroscopicity are met by the clock alone. In the description of this emerging behaviour finds its place the classical notion of time, as well as that of phase-space and trajectories on it.
  arXiv  Detail & Related papers  (2023-10-20T09:55:51Z)
• Entanglement entropy in conformal quantum mechanics [68.8204255655161]
  We consider sets of states in conformal quantum mechanics associated to generators of time evolution whose orbits cover different regions of the time domain. States labelled by a continuous global time variable define the two-point correlation functions of the theory seen as a one-dimensional conformal field theory.
  arXiv  Detail & Related papers  (2023-06-21T14:21:23Z)
• Temporal Entanglement in Chaotic Quantum Circuits [62.997667081978825]
  The concept of space-evolution (or space-time duality) has emerged as a promising approach for studying quantum dynamics. We show that temporal entanglement always follows a volume law in time. This unexpected structure in the temporal entanglement spectrum might be the key to an efficient computational implementation of the space evolution.
  arXiv  Detail & Related papers  (2023-02-16T18:56:05Z)
• Self-oscillating pump in a topological dissipative atom-cavity system [55.41644538483948]
  We report on an emergent mechanism for pumping in a quantum gas coupled to an optical resonator. Due to dissipation, the cavity field evolves between its two quadratures, each corresponding to a different centrosymmetric crystal configuration. This self-oscillation results in a time-periodic potential analogous to that describing the transport of electrons in topological tight-binding models.
  arXiv  Detail & Related papers  (2021-12-21T19:57:30Z)
• Time and Evolution in Quantum and Classical Cosmology [68.8204255655161]
  We show that it is neither necessary nor sufficient for the Poisson bracket between the time variable and the super-Hamiltonian to be equal to unity in all of the phase space. We also discuss the question of switching between different internal times as well as the Montevideo interpretation of quantum theory.
  arXiv  Detail & Related papers  (2021-07-02T09:17:55Z)
• Nonlinear entanglement growth in inhomogeneous spacetimes [0.0]
  Entment has become central for the characterization of quantum matter both in and out of equilibrium. We study entanglement dynamics both for the case of noninteracting fermions, allowing for exact numerical solutions, and for random unitary circuits representing a paradigmatic class of ergodic systems.
  arXiv  Detail & Related papers  (2020-06-01T08:58:26Z)
• Projection evolution and quantum spacetime [68.8204255655161]
  We discuss the problem of time in quantum mechanics. An idea of construction of a quantum spacetime as a special set of the allowed states is presented. An example of a structureless quantum Minkowski-like spacetime is also considered.
  arXiv  Detail & Related papers  (2019-10-24T14:54:11Z)

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.