Inhomogeneous quenches as state preparation in two-dimensional conformal field theories

• URL: http://arxiv.org/abs/2310.19376v1
• Date: Mon, 30 Oct 2023 09:34:30 GMT
• Title: Inhomogeneous quenches as state preparation in two-dimensional conformal field theories
• Authors: Masahiro Nozaki, Kotaro Tamaoka, Mao Tian Tan
• Abstract summary: We evolve the system with the inhomogeneous Hamiltonians called M"obius/SSD ones. During the M"obius evolution, the entanglement entropy exhibits the periodic motion called quantum revival. We propose the gravity dual of the systems considered in this paper, furthermore, and generalize it.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The non-equilibrium process where the system does not evolve to the featureless state is one of the new central objects in the non-equilibrium phenomena. In this paper, starting from the short-range entangled state in the two-dimensional conformal field theories ($2$d CFTs), the boundary state with a regularization, we evolve the system with the inhomogeneous Hamiltonians called M\"obius/SSD ones. Regardless of the details of CFTs considered in this paper, during the M\"obius evolution, the entanglement entropy exhibits the periodic motion called quantum revival. During SSD time evolution, except for some subsystems, in the large time regime, entanglement entropy and mutual information are approximated by those for the vacuum state. We argue the time regime for the subsystem to cool down to vacuum one is $t_1 \gg \mathcal{O}(L\sqrt{l_A})$, where $t_1$, $L$, and $l_A$ are time, system, and subsystem sizes. This finding suggests the inhomogeneous quench induced by the SSD Hamiltonian may be used as the preparation for the approximately-vacuum state. We propose the gravity dual of the systems considered in this paper, furthermore, and generalize it. In addition to them, we discuss the relation between the inhomogenous quenches and continuous multi-scale entanglement renormalization ansatz (cMERA).

Related papers

• Time evolution of entanglement entropy after quenches in two-dimensional free fermion systems: a dimensional reduction treatment [0.0]
  We study the time evolution of the R'enyi entanglement entropies following a quantum quench in a two-dimensional (2D) free-fermion system. Various initial configurations are examined, revealing that the behavior of entanglement entropies can often be explained by adapting the one-dimensional quasiparticle picture.
  arXiv  Detail & Related papers  (2023-10-27T14:10:45Z)
• On Entropy Growth in Perturbative Scattering [0.0]
  We study the change in subsystem entropy generated by dynamical unitary evolution of a product state in a bipartite system. Remarkably, for the case of particle scattering, the circuit diagrams corresponding to $n$-Tsallis entropy are the same as the on-shell diagrams.
  arXiv  Detail & Related papers  (2023-04-25T18:00:01Z)
• 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)
• Entanglement resolution of free Dirac fermions on a torus [68.8204255655161]
  We first evaluate the SRE for massless Dirac fermions in a system at finite temperature and size. The charge-dependent entropies turn out to be equally distributed among all the symmetry sectors at leading order.
  arXiv  Detail & Related papers  (2022-12-14T14:54:35Z)
• 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)
• Superdiffusion in random two dimensional system with time-reversal symmetry and long-range hopping [45.873301228345696]
  localization problem in the crossover regime for the dimension $d=2$ and hopping $V(r) propto r-2$ is not resolved yet. We show that for the hopping determined by two-dimensional anisotropic dipole-dipole interactions there exist two distinguishable phases at weak and strong disorder.
  arXiv  Detail & Related papers  (2022-05-29T16:53:20Z)
• The Franke-Gorini-Kossakowski-Lindblad-Sudarshan (FGKLS) Equation for Two-Dimensional Systems [62.997667081978825]
  Open quantum systems can obey the Franke-Gorini-Kossakowski-Lindblad-Sudarshan (FGKLS) equation. We exhaustively study the case of a Hilbert space dimension of $2$.
  arXiv  Detail & Related papers  (2022-04-16T07:03:54Z)
• Non-Hermitian quantum walks and non-Markovianity: the coin-position interaction [2.501693072047969]
  We compare the two methods of constructing the reduced dynamics of a system evolving under a non-Hermitian Hamiltonian. We find that under the metric formalism, a power law decay of the information backflow to the subsystem gives a clear indication of the transition from $mathcalPT$-unbroken to the broken phase.
  arXiv  Detail & Related papers  (2021-09-22T12:21:36Z)
• Entanglement Barriers in Dual-Unitary Circuits [0.0]
  We compute the shape of the entanglement barriers described by different R'enyi entropies after quantum quenches in dual-unitary circuits initialised in a class of solvable matrix product states (MPS)s. We show that, for free (SWAP-like) circuits, the entanglement entropy behaves as in rational CFTs. On the other hand, for completely chaotic dual-unitary circuits it behaves as in holographic CFTs, exhibiting a longer entanglement barrier that drops rapidly when the subsystem thermalises.
  arXiv  Detail & Related papers  (2021-03-23T18:55:16Z)
• Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions [0.0]
  We show how the entanglement splits between the sectors of an internal local symmetry of a quantum many-body system. We point out two physically relevant effects that should be easily observed in atomic experiments.
  arXiv  Detail & Related papers  (2020-10-19T19:12:42Z)
• Anisotropy-mediated reentrant localization [62.997667081978825]
  We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
  arXiv  Detail & Related papers  (2020-01-31T19:00:01Z)

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.