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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Asymptotic Quantum Many-Body Scars.

Lorenzo Gotta^1,2, Sanjay Moudgalya^3,4, Leonardo Mazza²

¹Department of Quantum Matter Physics, University of Geneva, 24 Quai Ernest-Ansermet, 1211 Geneva, Switzerland.

Physical Review Letters

|November 24, 2023

Summary

This summary is machine-generated.

Quantum many-body scars (QMBS) exhibit nonthermal behavior. New "asymptotic QMBS" states show QMBS-like properties, even when not exact eigenstates, revealing hidden nonthermal signatures in quantum spin models.

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Area of Science:

Quantum physics
Condensed matter theory
Statistical mechanics

Background:

Quantum many-body scars (QMBS) are special states in quantum systems with low entanglement.
Exact QMBS are eigenstates of the Hamiltonian, exhibiting unique nonthermal properties.

Purpose of the Study:

To investigate the existence and properties of states that mimic QMBS behavior without being exact eigenstates.
To explore how QMBS signatures manifest in the broader energy spectrum of quantum spin models.

Main Methods:

Theoretical analysis of quantum lattice spin models.
Superposition of energy eigenstates to construct new states.
Numerical simulations using the spin-1 XY model.
Analysis of a perturbed model to assess robustness.

Main Results:

Identified
asymptotic QMBS
— low-entanglement states constructed from superpositions.
These states exhibit vanishing energy variance and diverging relaxation times in the thermodynamic limit.
Asymptotic QMBS are orthogonal to exact QMBS and reveal nonthermal signatures in the thermal spectrum.

Conclusions:

QMBS-like phenomena can exist beyond exact eigenstates, residing in the thermal part of the spectrum.
The presence of exact QMBS influences the entire spectrum, creating asymptotic QMBS.
Asymptotic QMBS provide a pathway to observe nonthermal behavior in quantum systems, even under perturbations.