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From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
This review gives a pedagogical introduction to the eigenstate thermalization hypothesis (ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first part, ETH is…
Phase space representation of quantum dynamics
- A. Polkovnikov
- 20 May 2009
Colloquium: Nonequilibrium dynamics of closed interacting quantum systems
This Colloquium gives an overview of recent theoretical and experimental progress in the area of nonequilibrium dynamics of isolated quantum systems. There is particularly a focus on quantum…
Dynamical quantum phase transitions in the transverse-field Ising model.
It is shown that the equilibrium quantum phase transition and the dynamical phase transition in the transverse-field Ising model are intimately related.
Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering
We give a general overview of the high-frequency regime in periodically driven systems and identify three distinct classes of driving protocols in which the infinite-frequency Floquet Hamiltonian is…
Minimizing irreversible losses in quantum systems by local counterdiabatic driving
- Dries Sels, A. Polkovnikov
- Physics, Computer ScienceProceedings of the National Academy of Sciences
- 19 July 2016
A simple variational approach allowing one to find the best possible counterdiabatic protocols given physical constraints, like locality is developed, which shows that, using these approximate protocols, one can drastically suppress heating and increase fidelity of quantum annealing protocols in complex many-particle systems.
Time-Resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
By dynamically modifying the potential bias between neighboring lattice sites, the magnitude and sign of the superexchange interaction can be controlled, thus allowing the system to be switched between antiferromagnetic and ferromagnetic spin interactions.
Dynamical quantum Hall effect in the parameter space
This work shows how one can observe the Berry curvature, and hence the Berry phase, in generic systems as a nonadiabatic response of physical observables to the rate of change of an external parameter, and observes the quantization of this response, which is termed the rotational quantum Hall effect.
Universal adiabatic dynamics in the vicinity of a quantum critical point
- A. Polkovnikov
- 4 December 2003
We study temporal behavior of a quantum system under a slow external perturbation, which drives the system across a second-order quantum phase transition. It is shown that despite the conventional…
Reinforcement Learning in Different Phases of Quantum Control
- M. Bukov, A. G. Day, Dries Sels, P. Weinberg, A. Polkovnikov, P. Mehta
- Physics, Computer SciencePhysical Review X
- 1 May 2017
This work implements cutting-edge Reinforcement Learning techniques and shows that their performance is comparable to optimal control methods in the task of finding short, high-fidelity driving protocol from an initial to a target state in non-integrable many-body quantum systems of interacting qubits.