We show that the known bound on the growth rate of the out-of-time-order four-point correlator in chaotic many-body quantum systems follows directly from the general structure of operator matrix elements in systems that obey the eigenstate thermalization hypothesis. This ties together two key paradigms of thermal behavior in isolated many-body quantum systems.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevLett.123.230606 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Quantum Information Scrambling in Adiabatically Driven Critical Systems.
Entropy (Basel)
November 2024
Departamento de Física Teórica, Atómica y Óptica, Universidad de Valladolid, 47011 Valladolid, Spain.
Quantum information scrambling refers to the spread of the initially stored information over many degrees of freedom of a quantum many-body system. Information scrambling is intimately linked to the thermalization of isolated quantum many-body systems, and has been typically studied in a sudden quench scenario. Here, we extend the notion of quantum information scrambling to critical quantum many-body systems undergoing an adiabatic evolution.
View Article and Find Full Text PDFMany-body localization in the age of classical computing.
Rep Prog Phys
November 2024
Marian Smoluchowski Institute of Physics, Jagiellonian University in Kraków, ul Lojasiewicza 11, Krakow, 31-007, POLAND.
Article Synopsis
- Statistical mechanics helps analyze large, complex systems with a few key parameters, but challenges arise in isolated quantum many-body systems when thermalization is hindered due to many-body localization (MBL).
- Research shows that even in strongly disordered systems, there is an ongoing drift towards ergodicity, which complicates understanding the MBL phase.
- The review emphasizes that while the dynamics slow down with increased disorder, it raises intriguing questions about why thermalization fails in disordered many-body systems, highlighting the need for more research in this area.
Phenomenology of Many-Body Localization in Bond-Disordered Spin Chains.
Phys Rev Lett
November 2024
Instytut Fizyki Teoretycznej, Uniwersytet Jagielloński, Łojasiewicza 11, PL-30-348 Kraków, Poland.
Many-body localization (MBL) hinders the thermalization of quantum many-body systems in the presence of strong disorder. In this Letter, we study the MBL regime in bond-disordered spin-1/2 XXZ spin chain, finding the multimodal distribution of entanglement entropy in eigenstates, sub-Poissonian level statistics, and revealing a relation between operators and initial states required for examining the breakdown of thermalization in the time evolution of the system. We employ a real space renormalization group scheme to identify these phenomenological features of the MBL regime that extend beyond the standard picture of local integrals of motion relevant for systems with disorder coupled to on-site operators.
View Article and Find Full Text PDFUnraveling PXP Many-Body Scars through Floquet Dynamics.
Phys Rev Lett
November 2024
Institute for Theoretical Physics, University of Innsbruck, Innsbruck 6020, Austria.
Quantum scars are special eigenstates of many-body systems that evade thermalization. They were first discovered in the PXP model, a well-known effective description of Rydberg atom arrays. Despite significant theoretical efforts, the fundamental origin of PXP scars remains elusive.
View Article and Find Full Text PDFOnset of quantum thermalization in the Jahn-Teller model.
Phys Rev E
October 2024
Center for Quantum Technologies, Department of Physics, St. Kliment Ohridski University of Sofia, James Bourchier 5 Boulevard, 1164 Sofia, Bulgaria.
We investigate the onset of quantum thermalization in a system governed by the Jahn-Teller Hamiltonian, which describes the interaction between a single spin and two bosonic modes. We find that the Jahn-Teller model exhibits a finite-size quantum phase transition between the normal phase and two types of super-radiant phase when the ratios of spin-level splitting to each of the two bosonic frequencies grow to infinity. We test the prediction of the eigenstate thermalization hypothesis in the Jahn-Teller model.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!