Topological Casimir effect for fermionic condensate in AdS spacetime with compact dimensions

• URL: http://arxiv.org/abs/2502.01114v1
• Date: Mon, 03 Feb 2025 07:06:43 GMT
• Title: Topological Casimir effect for fermionic condensate in AdS spacetime with compact dimensions
• Authors: T. A. Petrosyan, A. A. Grigoryan, A. A. Saharian,
• Abstract summary: We investigate combined effects of gravitational field and spatial topology on the fermionic condensate (FC) for a massive Dirac field in locally anti-de Sitter spacetime. For proper lengths of compact dimensions smaller than the AdS curvature radius the influence of the gravitational field is weak. For large proper lengths the decay of the topological FC follows a power law for both massless and massive field.
• Score: 0.0
• License:
• Abstract: We investigate combined effects of gravitational field and spatial topology on the fermionic condensate (FC) for a massive Dirac field in locally anti-de Sitter (AdS) spacetime with a part of spatial dimensions compactified to a torus. For general phases in the periodicity conditions along compact dimensions the topological Casimir contribution is explicitly extracted and the renormalization is reduced to the one for purely AdS spacetime. The FC is an even periodic function of the magnetic flux enclosed by compact dimension with the period of flux quantum. The topological contribution vanishes on the AdS boundary and dominates in the total FC in the region near the AdS horizon. For proper lengths of compact dimensions smaller than the AdS curvature radius the influence of the gravitational field is weak and the leading term in the corresponding expansion coincides with the FC for a locally Minkowski spacetime with compact dimensions. For large proper lengths the decay of the topological FC follows a power law for both massless and massive field, in contrast to an exponential decay in Minkowski bulk for massive fields. Applications are discussed for 2D Dirac materials.

Related papers

• Decoherence rate expression due to air molecule scattering in spatial qubits [0.0]
  We provide a solution for decoherence in spatial superpositions due to scattering/collision with air molecules. This result reproduces the short- and long-wavelength limits known in the literature.
  arXiv  Detail & Related papers  (2024-10-28T10:40:47Z)
• Topological Casimir effect in models with helical compact dimensions [0.0]
  We investigate the influence of the helical compactification of spatial dimension on the local properties of the vacuum state for a charged scalar field. By using the Hadamard function for the Bunch-Davies vacuum state, the vacuum expectation values of the field squared, current density, and energy-momentum tensor are studied.
  arXiv  Detail & Related papers  (2024-08-02T07:59:06Z)
• Vacuum currents for a scalar field in models with compact dimensions [0.0]
  This paper reviews the investigations on the vacuum expectation value of the current density for a charged scalar field in spacetimes with toroidally compactified spatial dimensions. As background geometries locally Minkowskian (LM), locally de Sitter (LdS) and locally anti-de Sitter (LAdS) spacetimes are considered. The effects of the gravitational field are essential for lengths of compact dimensions larger than the curvature radius.
  arXiv  Detail & Related papers  (2023-12-09T08:20:23Z)
• Entanglement area law violation from field-curvature coupling [0.0]
  We investigate the entanglement entropy of a massive scalar field nonminimally coupled to spacetime curvature. We show that large positive coupling constants can significantly alter the entropy scaling with respect to the boundary area. Our outcomes are interpreted in view of black hole entropy production and early universe scenarios.
  arXiv  Detail & Related papers  (2023-06-14T08:48:51Z)
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue [68.8204255655161]
  We study the phenomenon of cosmological particle production of Dirac fermions in a Friedman-Robertson-Walker spacetime. We present a scheme for the quantum simulation of this gravitational analogue by means of ultra-cold atoms in Raman optical lattices.
  arXiv  Detail & Related papers  (2022-12-02T18:28:23Z)
• Continuous percolation in a Hilbert space for a large system of qubits [58.720142291102135]
  The percolation transition is defined through the appearance of the infinite cluster. We show that the exponentially increasing dimensionality of the Hilbert space makes its covering by finite-size hyperspheres inefficient. Our approach to the percolation transition in compact metric spaces may prove useful for its rigorous treatment in other contexts.
  arXiv  Detail & Related papers  (2022-10-15T13:53:21Z)
• Nonperturbative Casimir effects: Vacuum structure, Confinement, and Chiral Symmetry Breaking [91.3755431537592]
  We consider phase properties of confining gauge theories and strongly interacting fermion systems. In particular, the chiral and deconfinement phase transitions properties in the presence of Casimir plates.
  arXiv  Detail & Related papers  (2022-08-06T07:39:36Z)
• From locality to irregularity: Introducing local quenches in massive scalar field theory [68.8204255655161]
  We consider the dynamics of excited local states in massive scalar field theory in an arbitrary spacetime dimension. We identify different regimes of their evolution depending on the values of the field mass and the quench regularization parameter. We also investigate the local quenches in massive scalar field theory on a cylinder and show that they cause an erratic and chaotic-like evolution of observables.
  arXiv  Detail & Related papers  (2022-05-24T18:00:07Z)
• Locality of Spontaneous Symmetry Breaking and Universal Spacing Distribution of Topological Defects Formed Across a Phase Transition [62.997667081978825]
  A continuous phase transition results in the formation of topological defects with a density predicted by the Kibble-Zurek mechanism (KZM) We characterize the spatial distribution of point-like topological defects in the resulting nonequilibrium state and model it using a Poisson point process in arbitrary spatial dimension with KZM density.
  arXiv  Detail & Related papers  (2022-02-23T19:00:06Z)
• Vacuum currents in partially compactified Rindler spacetime with an application to cylindrical black holes [0.0]
  The vacuum expectation value of the current density for a charged scalar field is investigated in Rindler spacetime with a part of spatial dimensions compactified to a torus. For general values of the phases in the periodicity conditions and the lengths of compact dimensions, the expressions are provided for the Hadamard function and vacuum currents.
  arXiv  Detail & Related papers  (2021-09-02T11:44:28Z)
• Probing chiral edge dynamics and bulk topology of a synthetic Hall system [52.77024349608834]
  Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states. Here, we realize a quantum Hall system using ultracold dysprosium atoms, in a two-dimensional geometry formed by one spatial dimension. We demonstrate that the large number of magnetic sublevels leads to distinct bulk and edge behaviors.
  arXiv  Detail & Related papers  (2020-01-06T16:59:08Z)

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.