Entanglement Entropy of a Scalar Field in a Squeezed State

• URL: http://arxiv.org/abs/2403.03136v3
• Date: Fri, 25 Oct 2024 08:53:50 GMT
• Title: Entanglement Entropy of a Scalar Field in a Squeezed State
• Authors: Dimitrios Katsinis, Georgios Pastras, Nikolaos Tetradis,
• Abstract summary: We study the entanglement entropy within a spherical region for a free scalar field in 3+1 dimensions. We show that, even for small squeezing, a volume term appears, whose coefficient is essentially independent of the field mass.
• Score: 0.0
• License:
• Abstract: We study the entanglement entropy within a spherical region for a free scalar field in a squeezed state in 3+1 dimensions. We show that, even for small squeezing, a volume term appears, whose coefficient is essentially independent of the field mass. This is in line with Page's argument that the entanglement entropy in an arbitrary quantum state is proportional to the number of degrees of freedom of the smaller subsystem. It follows that squeezed states can be considered as arbitrary quantum states, in contrast to the ground or coherent states that give rise to entanglement entropy that is dominated by a term proportional to the area of the entangling surface.

Related papers

• Continuity of entropies via integral representations [16.044444452278064]
  We show that Frenkel's integral representation of the quantum relative entropy provides a natural framework to derive continuity bounds for quantum information measures. We obtain a number of results: (1) a tight continuity relation for the conditional entropy in the case where the two states have equal marginals on the conditioning system, resolving a conjecture by Wilde in this special case; (2) a stronger version of the Fannes-Audenaert inequality on quantum entropy; and (3) better estimates on the quantum capacity of approximately degradable channels.
  arXiv  Detail & Related papers  (2024-08-27T17:44:52Z)
• Entanglement entropy in quantum black holes [2.3301643766310374]
  We discuss the entanglement entropy for a massive Klein-Gordon field in two Schwarzschild-like quantum black hole spacetimes. We estimate the free parameters for such quantum metrics through a simple physical argument based on Heisenberg uncertainty principle. Our findings reveal a significant decrease in entropy compared to the area law near the origin for the quantum metrics.
  arXiv  Detail & Related papers  (2024-03-31T15:19:03Z)
• Entanglement Fractalization [9.254741613227333]
  We numerically explore the interplay of fractal geometry and quantum entanglement by analyzing entanglement entropy and the entanglement contour in the scaling limit. For gapless ground states exhibiting a finite density of states at the chemical potential, we reveal a super-area law. A novel self-similar and universal pattern termed an entanglement fractal'' in the entanglement contour data as we approach the scaling limit bears resemblance to intricate Chinese paper-cutting designs.
  arXiv  Detail & Related papers  (2023-11-02T12:50:27Z)
• The Fermionic Entanglement Entropy and Area Law for the Relativistic Dirac Vacuum State [44.99833362998488]
  We consider the fermionic entanglement entropy for the free Dirac field in a bounded spatial region of Minkowski spacetime. An area law is proven in the limiting cases where the volume tends to infinity and/or the regularization length tends to zero.
  arXiv  Detail & Related papers  (2023-10-05T12:08:03Z)
• Entanglement of Harmonic Systems in Squeezed States [0.0]
  We extend the study of entanglement of harmonic systems to the case of the most general Gaussian states, namely the squeezed states. We find the eigenstates and the spectrum of the reduced density matrix and we calculate the entanglement entropy. We expect this behaviour to hold in higher dimensions as well, as it emerges in a large-squeezing expansion of the entanglement entropy for a general harmonic system.
  arXiv  Detail & Related papers  (2023-04-09T14:06:11Z)
• Eigenstate thermalization and disappearance of quantum many-body scar states in interacting fermion systems [5.220447555432832]
  We show that the probability of having a many-body scar state with entanglement entropy satisfying a sub-volume scaling law decreases double exponentially as the system size. Our results provide a quantitative argument for the disappearance of scar states in interacting fermion systems.
  arXiv  Detail & Related papers  (2022-07-27T17:56:21Z)
• Universal entanglement entropy in the ground state of biased bipartite systems [0.0]
  Ground state entanglement entropy is studied in a many-body bipartite quantum system. Single and multiple conserved quantities lead to different power-law exponents. occupancy measurements allow to infer the bipartite entanglement entropy.
  arXiv  Detail & Related papers  (2022-06-07T07:46:24Z)
• Maximum entropy quantum state distributions [58.720142291102135]
  We go beyond traditional thermodynamics and condition on the full distribution of the conserved quantities. The result are quantum state distributions whose deviations from thermal states' get more pronounced in the limit of wide input distributions.
  arXiv  Detail & Related papers  (2022-03-23T17:42:34Z)
• Catalytic Transformations of Pure Entangled States [62.997667081978825]
  Entanglement entropy is the von Neumann entropy of quantum entanglement of pure states. The relation between entanglement entropy and entanglement distillation has been known only for the setting, and the meaning of entanglement entropy in the single-copy regime has so far remained open. Our results imply that entanglement entropy quantifies the amount of entanglement available in a bipartite pure state to be used for quantum information processing, giving results an operational meaning also in entangled single-copy setup.
  arXiv  Detail & Related papers  (2021-02-22T16:05:01Z)
• Long-distance entanglement of purification and reflected entropy in conformal field theory [58.84597116744021]
  We study entanglement properties of mixed states in quantum field theory via entanglement of purification and reflected entropy. We find an elementary proof that the decay of both, the entanglement of purification and reflected entropy, is enhanced with respect to the mutual information behaviour.
  arXiv  Detail & Related papers  (2021-01-29T19:00:03Z)
• Entropy scaling law and the quantum marginal problem [0.0]
  Quantum many-body states that frequently appear in physics often obey an entropy scaling law. We prove a restricted version of this conjecture for translationally invariant systems in two spatial dimensions. We derive a closed-form expression for the maximum entropy density compatible with those marginals.
  arXiv  Detail & Related papers  (2020-10-14T22:30:37Z)

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.