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Probing quantum many-body dynamics using subsystem Loschmidt echos
Simon Karch, Souvik Bandyopadhyay, Zheng-Hang Sun +9
The Loschmidt echo - the probability of a quantum many-body system to return to its initial state following a dynamical evolution - generally contains key information about a quant…
Semiclassical dynamics of a disordered two-dimensional Hubbard model with long-range interactions
Adam S. Sajna, Anatoli Polkovnikov
Quench dynamics in a two-dimensional system of interacting fermions is analyzed within the semiclassical truncated Wigner approximation (TWA). The models with short-range and long-…
Chaos and thermalization in small quantum systems
Anatoli Polkovnikov, Dries Sels
Chaos and ergodicity are the cornerstones of statistical physics and thermodynamics. While classically even small systems like a particle in a two-dimensional cavity, can exhibit c…
Unconventional fermionic pairing states in a monochromatically tilted optical lattice
Alberto Nocera, Anatoli Polkovnikov, Adrian E. Feiguin
We study the one-dimensional attractive Fermionic Hubbard model under the influence of periodic driving with the time-dependent density matrix renormalization group method. We show…
Geodesic Paths for Quantum Many-Body Systems
Michael Tomka, Tiago Souza, Steven Rosenberg +1
We propose a method to obtain optimal protocols for adiabatic ground-state preparation near the adiabatic limit, extending earlier ideas from [D. A. Sivak and G. E. Crooks, Phys. R…
Adiabatic Perturbation Theory and Geometry of Periodically-Driven Systems
Phillip Weinberg, Marin Bukov, Luca D'Alessio +3
We give a systematic review of the adiabatic theorem and the leading non-adiabatic corrections in periodically-driven (Floquet) systems. These corrections have a two-fold origin: (…