Strongly Coupled PT-Symmetric Models in Holography

• URL: http://arxiv.org/abs/2411.18471v1
• Date: Wed, 27 Nov 2024 16:07:38 GMT
• Title: Strongly Coupled PT-Symmetric Models in Holography
• Authors: Daniel Arean, David Garcia-Fariña, Karl Landsteiner,
• Abstract summary: We review the construction of holographic duals to strongly coupled PT-symmetric quantum field theories. We focus on spacetime-dependent non-Hermitian couplings: non-Hermitian quenches and lattices. Remarkably, these non-Hermitian lattices flow to a PT-symmetric fixed point in the IR.
• Score: 0.0
• License:
• Abstract: Non-Hermitian quantum field theories are a promising tool to study open quantum systems. These theories preserve unitarity if PT-symmetry is respected, and in that case an equivalent Hermitian description exists via the so-called Dyson map. Generically, PT-symmetric non-Hermitian theories can also feature phases where PT-symmetry is broken and unitarity is lost. We review the construction of holographic duals to strongly coupled PT-symmetric quantum field theories and the study of their phase diagram. We next focus on spacetime-dependent non-Hermitian couplings: non-Hermitian quenches and lattices. They violate the null energy condition in the gravity dual. The lattices realize phases supporting an imaginary current that breaks PT-symmetry spontaneously. Remarkably, these non-Hermitian lattices flow to a PT-symmetric fixed point in the IR.

Related papers

• Controlling Symmetries and Quantum Criticality in the Anisotropic Coupled-Top Model [32.553027955412986]
  We investigate the anisotropic coupled-top model, which describes the interactions between two large spins along both $x-$ and $y-$directions. We can manipulate the system's symmetry, inducing either discrete $Z$ or continuous U(1) symmetry. The framework provides an ideal platform for experimentally controlling symmetries and investigating associated physical phenomena.
  arXiv  Detail & Related papers  (2025-02-13T15:14:29Z)
• Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions [15.282090777675679]
  We introduce a spin ladder with discrete symmetries designed to emulate a two-dimensional spin-1/2 boson system at half-filling. An exact duality transformation maps it onto a $mathbbZ$ gauge theory of three partons, analogous to the U(1) gauge theory of chargons and spinons in two-dimensional spin-1/2 boson systems.
  arXiv  Detail & Related papers  (2024-12-23T19:06:21Z)
• Long-range entanglement from spontaneous non-onsite symmetry breaking [3.3754780158324564]
  We show a frustration-free lattice model exhibiting SSB of a non-onsite symmetry. We analytically prove the two-fold ground-state degeneracy and the existence of a finite energy gap. Our work reveals the exotic features of SSB of non-onsite symmetries, which may lie beyond the framework of topological holography.
  arXiv  Detail & Related papers  (2024-11-07T18:59:51Z)
• Holographic Non-Hermitian Lattices and Junctions with PT-Restoring RG Flows [0.0]
  We study inhomogenoeus non-Hermitian strongly coupled holographic field theories. We find solutions that spontaneously break PT and solutions that do not. This leads us to claim that there is a PT-symmetry restoration in the IR, similar to the one observed in the perturbative setup of arXiv:2110.05289.
  arXiv  Detail & Related papers  (2024-10-17T14:20:26Z)
• Diagnosing Strong-to-Weak Symmetry Breaking via Wightman Correlators [20.572965801171225]
  Recent developments have extended the discussion of symmetry and its breaking to mixed states. We propose the Wightman correlator as an alternative diagnostic tool.
  arXiv  Detail & Related papers  (2024-10-12T02:04:40Z)
• Non-chiral non-Bloch invariants and topological phase diagram in non-unitary quantum dynamics without chiral symmetry [26.179241616332387]
  We identify the non-Bloch topological phase diagram of a one-dimensional (1D) non-Hermitian system without chiral symmetry. We find that such topological invariants can distinguish topologically distinct gapped phases. Our work provides a useful platform to study the interplay among topology, symmetries and the non-Hermiticity.
  arXiv  Detail & Related papers  (2024-07-26T03:29:30Z)
• Discrete spacetime symmetries, second quantization, and inner products in a non-Hermitian Dirac fermionic field theory [0.0]
  We consider a prototype model containing a single Dirac fermion with a parity-odd, anti-Hermitian mass term. In the phase of unbroken PT symmetry, this Dirac fermion model is equivalent to a Hermitian theory under a similarity transformation.
  arXiv  Detail & Related papers  (2022-01-26T17:12:36Z)
• The phase diagram and vortex properties of PT-symmetric non-Hermitian two-component superfluid [0.0]
  We discuss the phase diagram and properties of global vortices in the non-Hermitian parity-time-symmetric relativistic model. In the long-range limit of two-component Bose-Einstein condensates, the vortices from different condensates experience mutual dissipative dynamics unless their cores overlap precisely.
  arXiv  Detail & Related papers  (2021-05-16T15:30:48Z)
• $\PT$ Symmetry and Renormalisation in Quantum Field Theory [62.997667081978825]
  Quantum systems governed by non-Hermitian Hamiltonians with $PT$ symmetry are special in having real energy eigenvalues bounded below and unitary time evolution. We show how $PT$ symmetry may allow interpretations that evade ghosts and instabilities present in an interpretation of the theory within a Hermitian framework.
  arXiv  Detail & Related papers  (2021-03-27T09:46:36Z)
• Discrete spacetime symmetries and particle mixing in non-Hermitian scalar quantum field theories [0.0]
  We discuss second quantization, discrete symmetry transformations and inner products in free non-Hermitian quantum field theories with PT symmetry. We focus on a prototype model of two complex scalar fields with anti-Hermitian mass mixing.
  arXiv  Detail & Related papers  (2020-06-11T17:48:51Z)
• Observation of Hermitian and Non-Hermitian Diabolic Points and Exceptional Rings in Parity-Time symmetric ZRC and RLC Dimers [62.997667081978825]
  We show how appears non-Hermitian degeneracy points in the spectrum and how they are protected against a Hermitian perturbation. This work opens a gold road for investigations on topological electrical circuits for robust transport of information at room temperature.
  arXiv  Detail & Related papers  (2020-04-17T15:51:49Z)

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.