Measurement-induced phase transition in a single-body tight-binding
model
- URL: http://arxiv.org/abs/2309.15034v1
- Date: Tue, 26 Sep 2023 16:03:09 GMT
- Title: Measurement-induced phase transition in a single-body tight-binding
model
- Authors: Tony Jin and David G. Martin
- Abstract summary: 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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the statistical properties of a single free quantum particle
evolving coherently on a discrete lattice in $d$ spatial dimensions where every
lattice site is additionally subject to continuous measurement of the
occupation number. Using perturbative renormalization group (RG) analysis, we
show that the systems undergoes a Measurement-induced Phase Transition (MiPT)
for $d>2$ from a $\textit{delocalized}$ to a $\textit{localized}$ phase as the
measurement strength $\gamma$ is increased beyond a critical value
$\gamma_{c}$. In the language of surface growth, the delocalized phase
corresponds to a $\textit{rough}$ phase while the localized phase corresponds
to a $\textit{smooth}$ phase. We support our analytical computations with
numerical analysis which are in qualitative and quantitative agreement with the
theory.
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) - Quantum-critical properties of the one- and two-dimensional random transverse-field Ising model from large-scale quantum Monte Carlo simulations [0.0]
We study the ferromagnetic transverse-field Ising model with quenched disorder at $T = 0$ in one and two dimensions.
The emphasis on effective zero-temperature simulations resolves several inconsistencies in existing literature.
arXiv Detail & Related papers (2024-03-08T11:20:42Z) - 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) - 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) - 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) - Evolution of many-body systems under ancilla quantum measurements [58.720142291102135]
We study the concept of implementing quantum measurements by coupling a many-body lattice system to an ancillary degree of freedom.
We find evidence of a disentangling-entangling measurement-induced transition as was previously observed in more abstract models.
arXiv Detail & Related papers (2023-03-13T13:06:40Z) - Contrasting pseudo-criticality in the classical two-dimensional
Heisenberg and $\mathrm{RP}^2$ models: zero-temperature phase transition
versus finite-temperature crossover [0.0]
We compare the two-dimensional classical Heisenberg and $mathrmRP2$ models.
For the Heisenberg model, we find no signs of a finite-temperature phase transition.
For the $mathrmRP2$ model, we observe an abrupt onset of scaling behaviour.
arXiv Detail & Related papers (2022-02-15T17:35:15Z) - Measurement-induced criticality in $\mathbb{Z}_2$-symmetric quantum
automaton circuits [6.723539428281127]
We study entanglement dynamics in hybrid $mathbbZ$-symmetric quantum automaton circuits.
We show that there exists an entanglement phase transition from a volume law phase to a critical phase by varying the measurement rate $p$.
arXiv Detail & Related papers (2021-10-20T18:52:14Z) - A Random Matrix Analysis of Random Fourier Features: Beyond the Gaussian
Kernel, a Precise Phase Transition, and the Corresponding Double Descent [85.77233010209368]
This article characterizes the exacts of random Fourier feature (RFF) regression, in the realistic setting where the number of data samples $n$ is all large and comparable.
This analysis also provides accurate estimates of training and test regression errors for large $n,p,N$.
arXiv Detail & Related papers (2020-06-09T02:05:40Z)
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.