Conditional global entanglement in a Kosterlitz-Thouless quantum phase transition

• URL: http://arxiv.org/abs/2301.09168v1
• Date: Sun, 22 Jan 2023 17:34:41 GMT
• Title: Conditional global entanglement in a Kosterlitz-Thouless quantum phase transition
• Authors: Elahe Samimi, Mohammad Hossein Zarei and Afshin Montakhab
• Abstract summary: Entanglement is known as an important indicator for characterizing different types of quantum phase transitions (QPTs) We consider global entanglement (GE) in a KT phase transition and show that while it does not indicate any clear signature of the phase transition, the conditional version of GE is a good indicator with strong signatures of the KT transition.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Entanglement is known as an important indicator for characterizing different types of quantum phase transitions (QPTs), however it faces some challenges in the Kosterlitz-Thouless (KT) phase transitions due to an essential singularity which cannot be identified in finite derivatives of the ground state energy. In this paper, we consider global entanglement (GE) in a KT phase transition and show that while it does not indicate any clear signature of the phase transition, the conditional version of GE is a good indicator with strong signatures of the KT transition. In particular, we study a deformed version of the $Z_d$ Kitaev model which has an intermediate KT phase which separates a $Z_d$ topological phase from a magnetized phase at two different KT transition points. Using a mapping to the classical $d$-state clock model, we consider GE and the generalized GE and show that they do not provide a reliable indicator of transition points. However, their difference called conditional global entanglement (Q) shows a peak at the first KT transition point. Additionally, we show that it can characterize various phases of the model as it behaves substantially different in each phase. We therefore conclude that Q is a useful measure that can characterize various phases of KT QPTs as well as their related critical points.

Related papers

• Many-body phase transitions in a non-Hermitian Ising chain [0.8749675983608172]
  We study many-body phase transitions in a one-dimensional ferromagnetic transversed field Ising model with an imaginary field. We show that the system exhibits three phase transitions: one second-order phase transition and two $mathcalPT$ phase transitions.
  arXiv  Detail & Related papers  (2023-11-19T06:32:12Z)
• Non-Hermitian Aubry-André-Harper model with short- and long-range p-wave pairing [14.37149160708975]
  We investigate a non-Hermitian Aubry-Andr'e-Harper model with short-range, as well as long-range p-wave pairing. We observe the emergence of Majorana zero modes in the case of short-range pairing, whereas massive Dirac modes emerge in the case of long-range pairing.
  arXiv  Detail & Related papers  (2023-11-08T11:14:10Z)
• Entanglement phase transition due to reciprocity breaking without measurement or post-selection [59.63862802533879]
  EPT occurs for a system undergoing purely unitary evolution. We analytically derive the entanglement entropy out of and at the critical point for the $l=1$ and $l/N ll 1$ case.
  arXiv  Detail & Related papers  (2023-08-28T14:28:59Z)
• Complex Berry phase and imperfect non-Hermitian phase transitions [6.816938564119971]
  spectral phase transitions from an entirely real energy spectrum to a complex spectrum can be observed in classical and quantum systems. When the system is slowly and periodically cycled, the phase transition can become smooth, i.e. imperfect. This is illustrated by considering the spectral phase transition of the Wannier-Stark ladders in a PT-symmetric class of two-band non-Hermitian lattices.
  arXiv  Detail & Related papers  (2023-02-04T06:58:31Z)
• Continuous phase transition induced by non-Hermiticity in the quantum contact process model [44.58985907089892]
  How the property of quantum many-body system especially the phase transition will be affected by the non-hermiticity remains unclear. We show that there is a continuous phase transition induced by the non-hermiticity in QCP. We observe that the order parameter and susceptibility display infinitely even for finite size system, since non-hermiticity endows universality many-body system with different singular behaviour from classical phase transition.
  arXiv  Detail & Related papers  (2022-09-22T01:11:28Z)
• 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)
• Towards a complete classification of non-chiral topological phases in 2D fermion systems [29.799668287091883]
  We argue that all non-chiral fermionic topological phases in 2+1D are characterized by a set of tensors $(Nij_k,Fij_k,Fijm,alphabeta_kln,chidelta,n_i,d_i)$. Several examples with q-type anyon excitations are discussed, including the Fermionic topological phase from Tambara-gami category for $mathbbZ_2N$.
  arXiv  Detail & Related papers  (2021-12-12T03:00:54Z)
• Quantum phase transition in the one-dimensional Dicke-Hubbard model with coupled qubits [20.002319486166016]
  We study the ground state phase diagram of a one-dimensional two qubits Dicke-Hubbard model with XY qubit-qubit interaction.
  arXiv  Detail & Related papers  (2021-11-05T13:17:49Z)
• From quantum Rabi model to Jaynes-Cummings model: symmetry-breaking quantum phase transitions, topological phase transitions and multicriticalities [0.0]
  We study the excitation gap of anisotropic quantum Rabi model (QRM) which connects the fundamental QRM and the Jaynes-Cummings model (JCM) While the GS has a second-order quantum phase transition (QPT) in the low frequency limit, turning on finite universality we shed a novel light on the phase diagram to illuminate a fine structure of first-order transition series.
  arXiv  Detail & Related papers  (2020-10-28T17:58:31Z)
• Detecting Topological Quantum Phase Transitions via the c-Function [0.0]
  We consider a holographic model which exhibits a topological quantum phase transition between a topologically trivial insulating phase and a gapless Weyl semimetal. The c-function robustly shows a global feature at the quantum criticality and distinguishes with great accuracy the two separate zero temperature phases.
  arXiv  Detail & Related papers  (2020-07-14T18:03:24Z)
• Kosterlitz-Thouless phase and $Z_d$ topological quantum phase [0.0]
  We find a corresponding quantum model constructed by applying a local invertible transformation on a d-level version of Kitaev's Toric code. We identify an extended topological phase transition in our model in a sense that, for $d geq 5$, a KT-like quantum phase emerges between a $Z_d$ topological phase and a trivial phase.
  arXiv  Detail & Related papers  (2020-04-30T10:16:59Z)

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.