Coupled Fredkin and Motzkin chains from quantum six- and nineteen-vertex models

• URL: http://arxiv.org/abs/2210.03038v3
• Date: Fri, 24 Mar 2023 16:05:30 GMT
• Title: Coupled Fredkin and Motzkin chains from quantum six- and nineteen-vertex models
• Authors: Zhao Zhang, Israel Klich
• Abstract summary: We generalize the area-law violating models of Fredkin and Motzkin spin chains into two dimensions. The Hamiltonian is frustration free, and its projectors generate ergodic dynamics within the subspace of height configuration that are non negative.
• Score: 4.965221313169878
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We generalize the area-law violating models of Fredkin and Motzkin spin chains into two dimensions by building quantum six- and nineteen-vertex models with correlated interactions. The Hamiltonian is frustration free, and its projectors generate ergodic dynamics within the subspace of height configuration that are non negative. The ground state is a volume- and color-weighted superposition of classical bi-color vertex configurations with non-negative heights in the bulk and zero height on the boundary. The entanglement entropy between subsystems has a phase transition as the $q$-deformation parameter is tuned, which is shown to be robust in the presence of an external field acting on the color degree of freedom. The ground state undergoes a quantum phase transition between area- and volume-law entanglement phases with a critical point where entanglement entropy scales as a function $L\log L$ of the linear system size $L$. Intermediate power law scalings between $L\log L$ and $L^2$ can be achieved with an inhomogeneous deformation parameter that approaches 1 at different rates in the thermodynamic limit. For the $q>1$ phase, we construct a variational wave function that establishes an upper bound on the spectral gap that scales as $q^{-L^3/8}$.

Related papers

• KPZ scaling from the Krylov space [83.88591755871734]
  Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang scaling in late-time correlators and autocorrelators has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis.
  arXiv  Detail & Related papers  (2024-06-04T20:57:59Z)
• Tunable quantum criticality and pseudocriticality across the fixed-point annihilation in the anisotropic spin-boson model [0.26107298043931204]
  We study the nontrivial renormalization-group scenario of fixed-point annihilation in spin-boson models. We find a tunable transition between two localized phases that can be continuous or strongly first-order. We also find scaling behavior at the symmetry-enhanced first-order transition, for which the inverse correlation-length exponent is given by the bath exponent.
  arXiv  Detail & Related papers  (2024-03-04T19:00:07Z)
• Many-body localization properties of fully frustrated Heisenberg spin-1/2 ladder model with next-nearest-neighbor interaction [0.0]
  Many-body localization (MBL) is an intriguing physical phenomenon that arises from the interplay of interaction and disorder. In this study, we investigate the MBL properties of the fully frustrated Heisenberg spin-1/2 ladder model. We compare it with the Heisenberg spin-1/2 single-chain model with next-nearest-neighbor hopping interaction.
  arXiv  Detail & Related papers  (2024-02-17T13:07:05Z)
• Measurement-induced phase transition for free fermions above one dimension [46.176861415532095]
  Theory of the measurement-induced entanglement phase transition for free-fermion models in $d>1$ dimensions is developed. Critical point separates a gapless phase with $elld-1 ln ell$ scaling of the second cumulant of the particle number and of the entanglement entropy.
  arXiv  Detail & Related papers  (2023-09-21T18:11:04Z)
• Triggering Boundary Phase Transitions through Bulk Measurements in 2D Cluster States [20.295517930821084]
  We investigate the phase diagram at the boundary of an infinite two-dimensional cluster state subject to bulk measurements. Our results show that the boundary of the system exhibits volume-law entanglement at the measurement angle. These findings demonstrate that the phase diagram of the boundary of a two-dimensional system can be more intricate than that of a standard one-dimensional system.
  arXiv  Detail & Related papers  (2023-05-23T16:46:32Z)
• Theory of free fermions under random projective measurements [43.04146484262759]
  We develop an analytical approach to the study of one-dimensional free fermions subject to random projective measurements of local site occupation numbers. We derive a non-linear sigma model (NLSM) as an effective field theory of the problem.
  arXiv  Detail & Related papers  (2023-04-06T15:19:33Z)
• Degeneracy in excited-state quantum phase transitions of two-level bosonic models and its influence on system dynamics [5.117091825006161]
  We analyze the degeneracy dependence on the size of two-level boson models with a $u(n+1)$ dynamical algebra. We show that the infinite-time average of out-of-time-order correlators is an ESQPT order parameter in finite systems with $n=1$, but in systems with $n>1$, this average only works as an order parameter in the mean-field limit.
  arXiv  Detail & Related papers  (2023-03-29T09:20:29Z)
• Quantum lozenge tiling and entanglement phase transition [5.201207023965752]
  We construct a frustration-free Hamiltonian with maximal violation of the area law. It is conjectured that similar models with entanglement phase transitions can be built in higher dimensions.
  arXiv  Detail & Related papers  (2022-10-03T17:33:37Z)
• Quantum many-body spin rings coupled to ancillary spins: The sunburst quantum Ising model [0.0]
  We study a quantum "sunburst model" composed of a quantum Ising spin-ring in a transverse field. We observe rapid and nonanalytic changes in proximity of the quantum transitions of the Ising ring.
  arXiv  Detail & Related papers  (2022-02-16T11:22:19Z)
• Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics [58.720142291102135]
  We propose quantum simulators of "twistronic-like" physics based on ultracold atoms and syntheticdimensions. We show that our system exhibits topologicalband structures under appropriate conditions.
  arXiv  Detail & Related papers  (2020-08-06T19:58:05Z)
• Anisotropy-mediated reentrant localization [62.997667081978825]
  We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
  arXiv  Detail & Related papers  (2020-01-31T19:00:01Z)

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.