Non-hermitian phase transitions on a generalized Ellis-Bronnikov wormhole bridge

• URL: http://arxiv.org/abs/2504.17015v1
• Date: Wed, 23 Apr 2025 18:03:56 GMT
• Title: Non-hermitian phase transitions on a generalized Ellis-Bronnikov wormhole bridge
• Authors: José A. S. Lourenço, Ygor Pará, J. Furtado,
• Abstract summary: We consider a single fermion whose dynamics are governed by the Dirac equation confined to move on a wormhole surface.<n>The effects of the geometry are taken into account using the tetrad formalism and the spin connection.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we investigate the emergence of non-Hermitian phase transitions on a quantum wormhole surface. We consider a single fermion whose dynamics are governed by the Dirac equation confined to move on a quantum wormhole surface. The effects of the geometry are taken into account using the tetrad formalism and the spin connection. The Dirac equation gives rise to two coupled first-order differential equations for each spinor component. The eigenvalues and eigenfunctions for each spinor component are computed numerically, and the non-Hermitian phase transitions are investigated in terms of the geometric features of the wormhole and the magnitude of the imaginary component of the mass.

Related papers

• Quantum phase transitions and information-theoretic measures of a spin-oscillator system with non-Hermitian coupling [6.412262542272846]
  We analytically compute some information-theoretic measures for a spin-oscillator system with non-Hermitian coupling.<n>We expose the appearance of exceptional points (EP) on such two-dimensional subspaces together with quantum phase transitions marking the transit from real to complex eigenvalues.
  arXiv  Detail & Related papers  (2025-06-29T18:24:20Z)
• Generalization of exact operators of the Foldy-Wouthuysen transformation to arbitrary-spin particles in nonstationary fields [55.2480439325792]
  We use the Foldy-Wouthuysen representation which allows one to obtain the Schr"odinger picture of relativistic quantum mechanics. We determine exact nonexponential and exponential operators of the Foldy-Wouthuysen transformation for arbitrary-spins particles in the nonstationary case.
  arXiv  Detail & Related papers  (2024-10-27T18:41:50Z)
• Multiple non-hermitian phase transitions on quantum torus surface [0.0]
  We consider a single fermion whose dynamics is governed by the Dirac equation confined to move on a quantum torus surface. The effects of the geometry are take into account by using the tetrad formalism and the spin connection.
  arXiv  Detail & Related papers  (2024-08-22T03:45:16Z)
• Aharonov-Bohm Scattering From Knots [0.0]
  The Aharonov-Bohm effect is perhaps the first example in which the the interplay between classical topology and quantum theory was explored. Several attempts were made to generalize the Aharonov-Bohm effect by modifying the simple solenoidal current distribution.
  arXiv  Detail & Related papers  (2024-05-29T10:13:53Z)
• Chiral basis for qubits and spin-helix decay [1.995329933855084]
  We propose a qubit basis composed of transverse spin helices with kinks. Unlike the usual computational basis, this chiral basis is well suited for describing quantum states with nontrivial topology.
  arXiv  Detail & Related papers  (2023-03-24T15:07:11Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Geometric phases along quantum trajectories [58.720142291102135]
  We study the distribution function of geometric phases in monitored quantum systems. For the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle. For the same parameters, the density matrix does not show any interference.
  arXiv  Detail & Related papers  (2023-01-10T22:05:18Z)
• Quantum Entanglement of Non-Hermitian Quasicrystals [7.371841894852217]
  We present a class of experimentally realizable models for non-Hermitian quasicrystal chains. We numerically determine the metal-insulator transition point. Inspired by entanglement spectrum, we further analytically prove that a duality exists between the two phase regions.
  arXiv  Detail & Related papers  (2021-12-26T16:17:04Z)
• Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
  We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics. We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
  arXiv  Detail & Related papers  (2021-08-13T01:44:24Z)
• Rectification induced by geometry in two-dimensional quantum spin lattices [58.720142291102135]
  We address the role of geometrical asymmetry in the occurrence of spin rectification in two-dimensional quantum spin chains. We show that geometrical asymmetry, along with inhomogeneous magnetic fields, can induce spin current rectification even in the XX model.
  arXiv  Detail & Related papers  (2020-12-02T18:10:02Z)
• Quantum particle across Grushin singularity [77.34726150561087]
  We study the phenomenon of transmission across the singularity that separates the two half-cylinders. All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection. This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
  arXiv  Detail & Related papers  (2020-11-27T12:53:23Z)
• Lifshitz phase transitions in one-dimensional Gamma model [0.0]
  We study quantum phase transitions and magnetic properties of a one-dimensional spin-1/2 Gamma model. The results indicate that the Gamma model can act as an exactly solvable model to describe Lifshitz phase transitions in correlated electron systems.
  arXiv  Detail & Related papers  (2020-09-17T15:46:36Z)
• Area-Law Study of Quantum Spin System on Hyperbolic Lattice Geometries [0.0]
  Magnetic properties of the transverse-field Ising model on curved (hyperbolic) lattices are studied. We identify the quantum phase transition for each hyperbolic lattice by calculating the magnetization. We study the entanglement entropy at the phase transition in order to analyze the correlations of various subsystems.
  arXiv  Detail & Related papers  (2020-03-24T08:48:36Z)

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.