Entanglement and precession in two-dimensional dynamical quantum phase transitions

• URL: http://arxiv.org/abs/2112.11273v1
• Date: Tue, 21 Dec 2021 14:57:10 GMT
• Title: Entanglement and precession in two-dimensional dynamical quantum phase transitions
• Authors: Stefano De Nicola, Alexios A. Michailidis, Maksym Serbyn
• Abstract summary: We extend and investigate the notion of p- and eDQPTs in two-dimensional systems by considering semi-infinite ladders of varying width. For square lattices, we find that pDQPTs and eDQPTs persist and are characterized by similar phenomenology as in 1D. We also demonstrate that lattices with odd number of nearest neighbors give rise to phenomenologies beyond the one-dimensional classification.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: Non-analytic points in the return probability of a quantum state as a function of time, known as dynamical quantum phase transitions (DQPTs), have received great attention in recent years, but the understanding of their mechanism is still incomplete. In our recent work arXiv:2008.04894, we demonstrated that one-dimensional DQPTs can be produced by two distinct mechanisms, namely semiclassical precession and entanglement generation, leading to the definition of precession (pDQPTs) and entanglement (eDQPTs) dynamical quantum phase transitions. In this manuscript we extend and investigate the notion of p- and eDQPTs in two-dimensional systems by considering semi-infinite ladders of varying width. For square lattices, we find that pDQPTs and eDQPTs persist and are characterized by similar phenomenology as in 1D: pDQPTs are associated with a magnetization sign change and a wide entanglement gap, while eDQPTs correspond to suppressed local observables and avoided crossings in the entanglement spectrum. However, DQPTs show higher sensitivity to the ladder width and other details, challenging the extrapolation to the thermodynamic limit especially for eDQPTs. Moving to honeycomb lattices, we also demonstrate that lattices with odd number of nearest neighbors give rise to phenomenologies beyond the one-dimensional classification.

Related papers

• Dynamical bulk boundary correspondence and dynamical quantum phase transitions in higher order topological insulators [0.0]
  Dynamical quantum phase transitions occur in quantum systems when non-analyticities occur at critical times in the return rate. We consider a minimal model which encompasses all possible forms of higher order topology in two dimensional topological band structures. We find that DQPTs can still occur, and can occur for quenches which cross both bulk and boundary gap closings.
  arXiv  Detail & Related papers  (2023-05-10T15:21:55Z)
• Multipartite Entanglement in the Measurement-Induced Phase Transition of the Quantum Ising Chain [77.34726150561087]
  External monitoring of quantum many-body systems can give rise to a measurement-induced phase transition. We show that this transition extends beyond bipartite correlations to multipartite entanglement.
  arXiv  Detail & Related papers  (2023-02-13T15:54:11Z)
• 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)
• Spread Complexity and Topological Transitions in the Kitaev Chain [1.4973636284231042]
  We use a 1-dimensional p-wave superconductor as a prototype of a system displaying a topological phase transition. The Hamiltonian of the Kitaev chain manifests two gapped phases of matter with fermion parity symmetry. We show that Krylov-complexity is able to distinguish between the two and provides a diagnostic of the quantum critical point that separates them.
  arXiv  Detail & Related papers  (2022-08-12T14:52:28Z)
• Growth of entanglement of generic states under dual-unitary dynamics [77.34726150561087]
  Dual-unitary circuits are a class of locally-interacting quantum many-body systems. In particular, they admit a class of solvable" initial states for which, in the thermodynamic limit, one can access the full non-equilibrium dynamics. We show that in this case the entanglement increment during a time step is sub-maximal for finite times, however, it approaches the maximal value in the infinite-time limit.
  arXiv  Detail & Related papers  (2022-07-29T18:20:09Z)
• 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)
• 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)
• Dynamical Topological Quantum Phase Transitions at Criticality [0.0]
  We contribute to expanding the systematic understanding of the interrelation between the equilibrium quantum phase transition and the dynamical quantum phase transition (DQPT) Specifically, we find that dynamical quantum phase transition relies on the existence of massless it propagating quasiparticles as signaled by their impact on the Loschmidt overlap. The underlying two dimensional model reveals gapless modes, which do not couple to the dynamical quantum phase transitions, while relevant massless quasiparticles present periodic nonanalytic signatures on the Loschmidt amplitude.
  arXiv  Detail & Related papers  (2021-04-09T13:38:39Z)
• Entanglement view of dynamical quantum phase transitions [0.0]
  We use a matrix product state description of unitary dynamics in the thermodynamic limit to distinguish precession and entanglement DQPTs. While precession DQPTs are characterized by a large entanglement gap and are semiclassical in their nature, entanglement DQPTs occur near avoided crossings in the entanglement spectrum and can be distinguished by a complex pattern of non-local correlations.
  arXiv  Detail & Related papers  (2020-08-11T17:56:09Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)

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.