Bulk-Measurement-Induced Boundary Phase Transition in Toric Code and Gauge-Higgs Model

• URL: http://arxiv.org/abs/2311.16651v2
• Date: Sat, 10 Feb 2024 03:58:49 GMT
• Title: Bulk-Measurement-Induced Boundary Phase Transition in Toric Code and Gauge-Higgs Model
• Authors: Yoshihito Kuno, Takahiro Orito, Ikuo Ichinose
• Abstract summary: Boundary phase transition in toric code under cylinder geometry via bulk projective measurement is reported. As the frequency of local measurement for bulk qubits is increased, spin-glass type long-range order on the boundaries emerges indicating spontaneous-symmetry breaking ( SSB) We numerically elucidate the properties of this phase transition in detail, especially its criticality, and give a physical picture using non-local gauge-invariant symmetry operators.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Study of boundary phase transition in toric code under cylinder geometry via bulk projective measurement is reported. As the frequency of local measurement for bulk qubits is increased, spin-glass type long-range order on the boundaries emerges indicating spontaneous-symmetry breaking (SSB) of $Z_2$ symmetry. From the lattice-gauge-theory viewpoint, this SSB is a signal of a transition to Higgs phase with symmetry protected topological order. We numerically elucidate the properties of this phase transition in detail, especially its criticality, and give a physical picture using non-local gauge-invariant symmetry operators. Phase transition in the bulk is also studied and its relationship to the boundary transition is discussed.

Related papers

• Probing phase transition and underlying symmetry breaking via entanglement entropy scanning [5.35248594987918]
  Using entanglement entropy (EE) to probe the intrinsic physics of the novel phases and phase transitions in quantum many-body systems is an important but challenging topic in condensed matter physics. Thanks to our newly developed bipartite-reweight-annealing algorithm, we can systematically study EE behaviors near both first and second-order phase transition points of two-dimensional strongly correlated systems.
  arXiv  Detail & Related papers  (2024-09-16T02:34:36Z)
• Bulk and boundary entanglement transitions in the projective gauge-Higgs model [0.0]
  In quantum many-body spin systems, the interplay between the entangling effect of multi-qubit Pauli measurements and the disentangling effect of single-qubit Pauli measurements may give rise to two competing effects. We numerically investigate a measurement-based model associated with the $(2+1)$d $mathbbZ$ Fradkin-Shenker Hamiltonian model.
  arXiv  Detail & Related papers  (2024-02-18T23:44:51Z)
• Probing quantum floating phases in Rydberg atom arrays [61.242961328078245]
  We experimentally observe the emergence of the quantum floating phase in 92 neutral-atom qubits. The site-resolved measurement reveals the formation of domain walls within the commensurate ordered phase. As the experimental system sizes increase, we show that the wave vectors approach a continuum of values incommensurate with the lattice.
  arXiv  Detail & Related papers  (2024-01-16T03:26:36Z)
• Action formalism for geometric phases from self-closing quantum trajectories [55.2480439325792]
  We study the geometric phase of a subset of self-closing trajectories induced by a continuous Gaussian measurement of a single qubit system. We show that the geometric phase of the most likely trajectories undergoes a topological transition for self-closing trajectories as a function of the measurement strength parameter.
  arXiv  Detail & Related papers  (2023-12-22T15:20:02Z)
• Structural phase transition and its critical dynamics from holography [0.0]
  We introduce a gravitational lattice theory defined in an AdS$_3$ black hole background that provides a holographic dual description of the linear-to-zigzag structural phase transition. The transition from the high-symmetry linear phase to the broken-symmetry doubly-degenerate phase can be driven by quenching the coupling between adjacent sites through the critical point. An analysis of the equilibrium correlation length and relaxation time reveals mean-field critical exponents.
  arXiv  Detail & Related papers  (2023-02-22T19:00:17Z)
• Geometric phases along quantum trajectories [58.720142291102135]
  We study the distribution function of geometric phases in monitored quantum systems. For the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle. For the same parameters, the density matrix does not show any interference.
  arXiv  Detail & Related papers  (2023-01-10T22:05:18Z)
• 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)
• 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)
• Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices [14.450949607717437]
  We experimentally realize an extended Su-Schrieffer-Heeger model with broken chiral symmetry. Our results demonstrate that inversion symmetry protects the quantized Zak phase, but edge states can disappear in the topological nontrivial phase. Our photonic lattice provides a useful platform to study the interplay among topological phases, symmetries, and the bulk-boundary correspondence.
  arXiv  Detail & Related papers  (2021-09-28T13:35:44Z)
• Symmetry-protected topological phase transitions and robust chiral order on a tunable zigzag lattice [8.870994254107801]
  We show that the setup in a zigzag optical lattice provides a perfect platform to realize symmetry-protected topological phase transitions. By using infinite time-evolving block decimation, we obtain the phase diagram in a large parameter regions. We find another scheme to realize the long-sought vector chiral phase, which is robust from quantum fluctuations.
  arXiv  Detail & Related papers  (2020-11-12T18:20:24Z)
• Universality of entanglement transitions from stroboscopic to continuous measurements [68.8204255655161]
  We show that the entanglement transition at finite coupling persists if the continuously measured system is randomly nonintegrable. This provides a bridge between a wide range of experimental settings and the wealth of knowledge accumulated for the latter systems.
  arXiv  Detail & Related papers  (2020-05-04T21:45:59Z)

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.