Phase transitions and critical phenomenaQuantum simulationTheoretical physicsPhysicsgeneralQuantum PhysicsQuantum Information TechnologySpintronicsQuantum ComputingWe study many-body localization (MBL) in a spin
We derive Harris-type bounds on the finite-size scaling exponents of the mean entanglement entropy and level statistics at the many-body localization phase transition using several different arguments. Our results are at odds with recent small-size numerics, for which we estimate the crossover ...
We present the large-scale numerical examination of a disordered Bose鈥揌ubbard model in two dimensions realized in cold atoms, which shows entanglement-based signatures of many-body localization. By generalizing a low-depth quantum circuit to two dimensions, we approximate eigenstates in the ...
We present a basic introduction to the topic of many-body localization, using the simple example of a quantum spin chain that allows us to illustrate several of the properties of this phase. We then briefly review the current experimental research efforts probing this physics. The largest part ...
It demonstrates that the fidelity, magnetization and spin-spin space correlation can be used to characterize the many-body localization transition in this closed spin system which is also in agreement with previous analytical and numerical results. We test the properties for the middle third many-...
14- Transport, multifractality, and scaling at the localization transition... by Subroto Mukerjee 15- Thermalisation, Many-Body Chaos, and Weak Solutions.. by Samriddhi Sankar Ray 16- Discussion Meeting for Thermalization, Many body localization and Hydrodynamics ...
We finally present a criterion for the identification of the ergodicity-breaking (many-body localization) transition based on these distributions which is quite robust and well suited for numerical investigations of a broad class of problems.
A particularly intriguing objective of quantum simulations so far has been to understand the underlying mechanisms which lead to thermalization, as in eigenstate thermalization hypothesis (ETH)28,39,40, or its absence via many-body localization (MBL)32,37,41,42,43, the existence of quantum many...
It is the common wisdom that time evolution of a many-body system leads to thermalization and washes away quantum correlations. But one class of system—referred to as many-body localized—defy this expectation. It is the common wisdom that time evolutio
The ergodic side of the many-body localization transition. Ann. Phys. 529, 1600350 (2017). Article MathSciNet MATH Google Scholar Nauts, A. & Wyatt, R. E. New approach to many-state quantum dynamics: the recursive-residue-generation method. Phys. Rev. Lett. 51, 2238–2241 (1983). ...