Entanglement in quenched extended Su-Schrieffer-Heeger model with anomalous dynamical quantum phase transitions

• URL: http://arxiv.org/abs/2407.15331v2
• Date: Fri, 6 Sep 2024 07:57:05 GMT
• Title: Entanglement in quenched extended Su-Schrieffer-Heeger model with anomalous dynamical quantum phase transitions
• Authors: Cheuk Yiu Wong, Tsz Hin Hui, P. D. Sacramento, Wing Chi Yu,
• Abstract summary: We study dynamical quantum phase transitions (DQPTs) in the quenched extended Su-Schrieffer-Heeger (SSH) model. Anomalous DQPTs, where the number of critical momenta exceeds the winding number differences between the pre-quench and post-quench phases, are observed. We categorize the phases in the equilibrium model into two classes and distinctive features in the time evolution of the entanglement involving quenches within and across the two classes are identified.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Research on topological models unveils fascinating physics, especially in the realm of dynamical quantum phase transitions (DQPTs). However, the understanding of entanglement structures and properties near DQPT in models with longer-range hoppings is far from complete. In this work, we study DQPTs in the quenched extended Su-Schrieffer-Heeger (SSH) model. Anomalous DQPTs, where the number of critical momenta exceeds the winding number differences between the pre-quench and post-quench phases, are observed. We find that the entanglement exhibits local maximum (minimum) around the anomalous DQPTs, in line with the level crossings (separations) around the middle of the correlation matrix spectrum. We further categorize the phases in the equilibrium model into two classes and distinctive features in the time evolution of the entanglement involving quenches within and across the two classes are identified. The findings pave the way to a better understanding of topological models with longer-range hoppings in the out-of-equilibrium regime.

Related papers

• Clustering of conditional mutual information and quantum Markov structure at arbitrary temperatures [0.0]
  Recent investigations have unveiled exotic quantum phases that elude characterization by simple bipartite correlation functions. In these phases, long-range entanglement arising from tripartite correlations plays a central role. Our findings unveil that, even at low temperatures, a broad class of tripartite entanglement cannot manifest in the long-range regime.
  arXiv  Detail & Related papers  (2024-07-08T11:30:12Z)
• Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
  We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it. We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
  arXiv  Detail & Related papers  (2023-06-16T16:41:16Z)
• Dynamics and Phases of Nonunitary Floquet Transverse-Field Ising Model [0.5141137421503899]
  We analyze the nonunitary Floquet- transverse-field I integrable model with complex nearest-neighbor couplings and complex transverse fields. The scaling of entanglement entropy in steady states and the evolution after a quench are compatible with the non-Hermitian generalization of the quasiparticle picture of Calabrese and Cardy.
  arXiv  Detail & Related papers  (2023-06-12T21:15:11Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
  We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model. The two-mode Dicke model exhibits normal to superradiant quantum phase transition. We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
  arXiv  Detail & Related papers  (2022-07-08T11:16:29Z)
• Genuine Multipartite Correlations in a Boundary Time Crystal [56.967919268256786]
  We study genuine multipartite correlations (GMC's) in a boundary time crystal (BTC) We analyze both (i) the structure (orders) of GMC's among the subsystems, as well as (ii) their build-up dynamics for an initially uncorrelated state.
  arXiv  Detail & Related papers  (2021-12-21T20:25:02Z)
• Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice [52.77024349608834]
  We investigate the phase diagram of hard-core bosons in two-leg ladders in the presence of soft-shoulder potentials. We show how the competition between local and non-local terms gives rise to a phase diagram with liquid phases with dominant cluster, spin, and density-wave quasi-long-range ordering.
  arXiv  Detail & Related papers  (2021-12-20T09:46:08Z)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model [0.0]
  We study the emergence of dynamical quantum phase transitions (DQPTs) in a half-filled one-dimensional lattice. We identify several types of sudden interaction quenches which lead to DQPTs. State-of-the-art cold-atom quantum simulators constitute ideal platforms to implement several reported DQPTs experimentally.
  arXiv  Detail & Related papers  (2021-09-16T04:12:50Z)
• Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection [0.685316573653194]
  We establish an intrinsic connection between topological phases and quantum phase transitions in non-Hermitian systems. We present a proposal to experimentally verify the found connection by a nitrogen-vacancy center in diamond.
  arXiv  Detail & Related papers  (2021-02-14T09:59:51Z)
• Finite-component dynamical quantum phase transitions [0.0]
  We show two types of dynamical quantum phase transitions (DQPTs) in a quantum Rabi model. One refers to distinct phases according to long-time averaged order parameters, the other is focused on the non-analytical behavior emerging in the rate function of the Loschmidt echo. We find the critical times at which the rate function becomes non-analytical, showing its associated critical exponent as well as the corrections introduced by a finite frequency ratio.
  arXiv  Detail & Related papers  (2020-08-31T17:31:17Z)

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.