Scale-Invariant Survival Probability at Eigenstate Transitions
- URL: http://arxiv.org/abs/2212.13888v2
- Date: Tue, 15 Aug 2023 11:12:53 GMT
- Title: Scale-Invariant Survival Probability at Eigenstate Transitions
- Authors: Miroslav Hopjan and Lev Vidmar
- Abstract summary: We show that a scaled survival probability, where time is measured in units of a typical Heisenberg time, exhibits a scale-invariant behavior at eigenstate transitions.
Similar phenomenology emerges in the interacting avalanche model of ergodicity breaking phase transitions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Understanding quantum phase transitions in highly excited Hamiltonian
eigenstates is currently far from being complete. It is particularly important
to establish tools for their characterization in time domain. Here we argue
that a scaled survival probability, where time is measured in units of a
typical Heisenberg time, exhibits a scale-invariant behavior at eigenstate
transitions. We first demonstrate this property in two paradigmatic quadratic
models, the one-dimensional Aubry-Andre model and three-dimensional Anderson
model. Surprisingly, we then show that similar phenomenology emerges in the
interacting avalanche model of ergodicity breaking phase transitions. This
establishes an intriguing similarity between localization transition in
quadratic systems and ergodicity breaking phase transition in interacting
systems.
Related papers
- Measurement-induced transitions for interacting fermions [43.04146484262759]
We develop a field-theoretical framework that provides a unified approach to observables characterizing entanglement and charge fluctuations.
Within this framework, we derive a replicated Keldysh non-linear sigma model (NLSM)
By using the renormalization-group approach for the NLSM, we determine the phase diagram and the scaling of physical observables.
arXiv Detail & Related papers (2024-10-09T18:00:08Z) - Plaquette Models, Cellular Automata, and Measurement-induced Criticality [3.074411226628252]
We present a class of two-dimensional randomized plaquette models.
We observe a ground state phase transition, or equivalently, a phase transition of the symmetry operator.
These models can be equivalently understood as 1+1D randomized cellular automaton dynamics.
arXiv Detail & Related papers (2024-05-14T03:06:53Z) - Scale-invariant critical dynamics at eigenstate transitions [0.0]
We study features of scale-invariant dynamics of survival probability and SFF at criticality.
We show that, in contrast to the quantum chaotic regime, the quantum dynamics at criticality do not only exhibit scale invariance at late times.
arXiv Detail & Related papers (2023-09-27T20:35:58Z) - Watching the seeds of dynamical phase transitions: the complex-time
survival amplitude [0.0]
Dynamical phase transitions are defined through non-analyticities of the survival probability of an out-of-equilibrium time-evolving state at certain critical times.
The complex zeros of this quantity near the time axis correspond, in the infinite-size limit, to non-analytical points where the survival probability abruptly vanishes.
A detailed study of the behavior of the complex-time survival amplitude when the characteristics of the out-of-equilibrium protocol changes is presented.
arXiv Detail & Related papers (2022-12-15T18:37:34Z) - Continuous phase transition induced by non-Hermiticity in the quantum
contact process model [44.58985907089892]
How the property of quantum many-body system especially the phase transition will be affected by the non-hermiticity remains unclear.
We show that there is a continuous phase transition induced by the non-hermiticity in QCP.
We observe that the order parameter and susceptibility display infinitely even for finite size system, since non-hermiticity endows universality many-body system with different singular behaviour from classical phase transition.
arXiv Detail & Related papers (2022-09-22T01:11:28Z) - Indication of critical scaling in time during the relaxation of an open
quantum system [34.82692226532414]
Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields.
Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
arXiv Detail & Related papers (2022-08-10T05:59:14Z) - Ergodicity breaking transition in zero dimensions [0.0]
We study a model that is expected to exhibit an ergodic to nonergodic transition in the thermodynamic limit.
A variant of the model was proposed by De Roeck and Huveneers to describe the avalanche mechanism of ergodicity breaking transition in one-dimensional disordered spin chains.
arXiv Detail & Related papers (2022-03-16T18:00:06Z) - 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) - Peratic Phase Transition by Bulk-to-Surface Response [26.49714398456829]
We show a duality between many-body dynamics and static Hamiltonian ground states for both classical and quantum systems.
Our prediction of peratic phase transition has direct consequences in quantum simulation platforms such as Rydberg atoms and superconducting qubits.
arXiv Detail & Related papers (2021-09-27T18:00:01Z) - Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
Quantum-body systems display rich phase structure in their low-temperature equilibrium states.
We experimentally observe an eigenstate-ordered DTC on superconducting qubits.
Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
arXiv Detail & Related papers (2021-07-28T18:00:03Z) - Exceptional Dynamical Quantum Phase Transitions in Periodically Driven
Systems [0.0]
We show that spontaneous symmetry breaking can occur at a short-time regime.
Our results open up research for hitherto unknown phases in short-time regimes.
arXiv Detail & Related papers (2020-12-22T04:04:56Z)
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.