Detection of unbroken phase of non-Hermitian system via Hermitian factorization surface

• URL: http://arxiv.org/abs/2106.11934v2
• Date: Tue, 22 Feb 2022 22:14:29 GMT
• Title: Detection of unbroken phase of non-Hermitian system via Hermitian factorization surface
• Authors: Leela Ganesh Chandra Lakkaraju, Aditi Sen De
• Abstract summary: In the traditional quantum theory, one-dimensional quantum spin models possess a factorization surface where the ground states are fully separable. We show that although the factorization surface prescribes the unbroken phase of the non-Hermitian model, the bipartite nearest-neighbour entanglement at the exceptional point is nonvanishing.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In the traditional quantum theory, one-dimensional quantum spin models possess a factorization surface where the ground states are fully separable having vanishing bipartite as well as multipartite entanglement. We report that in the non-Hermitian counterpart of these models, these factorization surfaces either can predict the exceptional points where the unbroken-to-broken transition occurs or can guarantee the reality of the spectrum, thereby proposing a procedure to reveal the unbroken phase. We first analytically demonstrate it for the nearest-neighbour rotation-time RT-symmetric XY model with uniform and alternating transverse magnetic fields, referred to as the iATXY model. Exact diagonalization techniques are then employed to establish this fact for the RT-symmetric XYZ model with short- and long-range interactions as well as for the long-ranged iATXY model. Moreover, we show that although the factorization surface prescribes the unbroken phase of the non-Hermitian model, the bipartite nearest-neighbour entanglement at the exceptional point is nonvanishing.

Related papers

• Robust topological feature against non-Hermiticity in Jaynes-Cummings Model [0.0]
  We analytically analyze the topological feature manifested by the Jaynes-Cummings Model (JCM) The non-Hermiticity tilts the spin winding plane and induces out-of-plane component, while the topological feature is maintained.
  arXiv  Detail & Related papers  (2024-02-09T12:26:59Z)
• Exact solution of the infinite-range dissipative transverse-field Ising model [0.0]
  We present an exact solution for the steady state of the transverse-field Ising model in the limit of infinite-range interactions. Our solution holds despite the lack of any collective spin symmetry or even permutation symmetry. It allows us to investigate first- and second-order dissipative phase transitions, driven-dissipative criticality, and captures the emergence of a surprising "spin blockade" phenomenon.
  arXiv  Detail & Related papers  (2023-07-13T17:59:23Z)
• Topological characterization of special edge modes from the winding of relative phase [0.0]
  Inversion or chiral symmetry broken SSH model is an example of a system where one-sided edge state with finite energy appears at one end of the open chain. We introduce a concept of relative phase between the components of a two-component spinor and define a winding number by the change of this relative phase over the one-dimensional Brillouin zone. We extend this analysis to a two dimensional case where we characterize the non-trivial phase, hosting gapped one-sided edge mode, by the winding in relative phase only along a certain axis in the Brillouin zone.
  arXiv  Detail & Related papers  (2023-06-13T19:43:04Z)
• Modeling the space-time correlation of pulsed twin beams [68.8204255655161]
  Entangled twin-beams generated by parametric down-conversion are among the favorite sources for imaging-oriented applications. We propose a semi-analytic model which aims to bridge the gap between time-consuming numerical simulations and the unrealistic plane-wave pump theory.
  arXiv  Detail & Related papers  (2023-01-18T11:29:49Z)
• Detecting Exceptional Point through Dynamics in Non-Hermitian Systems [0.0]
  We show that the rate function and the average Loschmidt echo can distinguish between the quench occurred in the broken or the unbroken phase. Such quantities are capable of identifying the exceptional point even in models like the non-Hermitian XYZ model with magnetic field.
  arXiv  Detail & Related papers  (2022-12-23T15:42:42Z)
• Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
  We introduce a class of quantum optical Hamiltonian characterized by three-body couplings. We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
  arXiv  Detail & Related papers  (2022-04-07T15:39:21Z)
• 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)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• Realization of Qi-Wu-Zhang model in spin-orbit-coupled ultracold fermions [7.389744672052489]
  We experimentally realize the Qi-Wu-Zhang model for quantum anomalous Hall phase in ultracold fermions with two-dimensional (2D) spin-orbit (SO) coupling. We develop a novel protocol of pump-probe quench measurement to probe, with minimal heating, the resonant spin flipping on particular quasi-momentum subspace called band-inversion surfaces.
  arXiv  Detail & Related papers  (2021-09-18T09:09:06Z)
• Determination of the critical exponents in dissipative phase transitions: Coherent anomaly approach [51.819912248960804]
  We propose a generalization of the coherent anomaly method to extract the critical exponents of a phase transition occurring in the steady-state of an open quantum many-body system.
  arXiv  Detail & Related papers  (2021-03-12T13:16:18Z)
• 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)

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.