Measurement-induced phase transitions in $(d+1)$-dimensional stabilizer
circuits
- URL: http://arxiv.org/abs/2210.11957v1
- Date: Fri, 21 Oct 2022 13:32:02 GMT
- Title: Measurement-induced phase transitions in $(d+1)$-dimensional stabilizer
circuits
- Authors: Piotr Sierant, Marco Schir\`o, Maciej Lewenstein, Xhek Turkeshi
- Abstract summary: We characterize the measurement-induced phases and their transitions using numerical simulations focusing on entanglement measures, purification dynamics, and structure structure.
Our findings demonstrate measurement-induced transition in large $(d+1)$temporal dimensions is conformal and close to percolation transition in $(d+1)$ spatial dimensions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The interplay between unitary dynamics and local quantum measurements results
in unconventional non-unitary dynamical phases and transitions. In this paper
we investigate the dynamics of $(d+1)$-dimensional hybrid stabilizer circuits,
for $d=1,2,3$. We characterize the measurement-induced phases and their
transitions using large-scale numerical simulations focusing on entanglement
measures, purification dynamics, and wave-function structure. Our findings
demonstrate the measurement-induced transition in $(d+1)$ spatiotemporal
dimensions is conformal and close to the percolation transition in $(d+1)$
spatial dimensions.
Related papers
- Controlling measurement induced phase transitions with tunable detector coupling [44.99833362998488]
We study the evolution of a quantum many-body system driven by two competing measurements.
We employ a positive operator-valued measurement with variable coupling between the system and detector.
arXiv Detail & Related papers (2024-04-11T17:02:58Z) - 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) - Measurement-induced phase transition in a single-body tight-binding
model [0.0]
We study the statistical properties of a single free quantum particle evolving coherently on a discrete lattice in $d$ spatial dimensions.
We show that the systems undergoes a Measurement-induced Phase Transition (MiPT) for $d>2$ from a $textitdelocalized$ to a $textitlocalized$ phase.
arXiv Detail & Related papers (2023-09-26T16:03:09Z) - Entanglement and absorbing state transitions in $(d+1)$-dimensional
stabilizer circuits [0.0]
Competition between unitary dynamics and measurements leads to an entanglement phase transition.
The feedback steers the dynamics towards an absorbing state, yielding an absorbing state phase transition.
arXiv Detail & Related papers (2023-08-25T13:55:36Z) - Measurement induced criticality in quasiperiodic modulated random hybrid circuits [0.0]
We study one-dimensional hybrid quantum circuits perturbed by quenched quasiperiodic (QP) modulations across the measurement-induced phase transition (MIPT)
We numerically determine the associated critical properties, including the correlation length exponent consistent with saturating the Luck bound, and a universal activated dynamical scaling with activation exponent $psi cong beta$.
arXiv Detail & Related papers (2023-08-07T18:00:08Z) - 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) - Charge fluctuation and charge-resolved entanglement in monitored quantum
circuit with $U(1)$ symmetry [0.0]
We study a (1+1)-dimensional quantum circuit consisting of Haar-random unitary gates and projective measurements.
We find a phase transition between two phases characterized by bipartite charge fluctuation growing with the subsystem size or staying constant.
arXiv Detail & Related papers (2022-10-28T09:25:02Z) - Superdiffusion in random two dimensional system with time-reversal symmetry and long-range hopping [45.873301228345696]
localization problem in the crossover regime for the dimension $d=2$ and hopping $V(r) propto r-2$ is not resolved yet.
We show that for the hopping determined by two-dimensional anisotropic dipole-dipole interactions there exist two distinguishable phases at weak and strong disorder.
arXiv Detail & Related papers (2022-05-29T16:53:20Z) - Photoinduced prethermal order parameter dynamics in the two-dimensional
large-$N$ Hubbard-Heisenberg model [77.34726150561087]
We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model.
We simulate the light-induced transition between two competing phases.
arXiv Detail & Related papers (2022-05-13T13:13:31Z) - 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) - Measurement-induced topological entanglement transitions in symmetric
random quantum circuits [0.0]
We study a class of (1+1)D symmetric random quantum circuits with two competing types of measurements.
The circuit exhibits a rich phase diagram involving robust symmetry-protected topological (SPT), trivial, and volume law entangled phases.
arXiv Detail & Related papers (2020-04-15T18:00:00Z)
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.