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# Nonequilibrium quantum physics: Exact steps

Published on Jul 25, 20162678 Views

Non-equilibrium quantum physics has become one of the central fields of research in particular due to an impressive degree of control in recent cold atom and quantum optics experiments. On the theoret

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Nonequilibrium quantum physics: Exact steps00:00

How to DO theoretical physics?00:55

Nonequilibrium quantum physics: Experiments!04:36

Relaxation and thermalization — Generalized Gibbs Ensemble - 105:37

Relaxation and thermalization — Generalized Gibbs Ensemble - 207:11

Expansion dynamics10:03

Manipulating OPEN quantum systems: ion traps11:51

Boundary-driven steady state paradigm12:42

Matrix Product Ansatz (MPA)19:54

Analog Classical problem: Asymmetric simple exclusion process22:40

Rich non-equilibrium phase diagram23:24

Deterministic classical interacting system driven by stochastic boundaries24:59

Precise experimental measurement of correlation functions29:35

Untitled29:51

Quantum interacting problem: driven anisotropic Heisenberg spin chain31:39

Again, nonequilibrium phase transition in the steady state!33:48

Two-point spin-spin correlation function in NESS35:57

Exact solution for the steady state: Matrix product ansatz36:38

Local conservation laws42:25

Near equilibrium transport and conservation laws45:07

Conclusion47:28

Nonequilibrium integrability48:39

GGE and the problem of Missing conserved charge(s)54:06

Corollary: Rigorous lower bound on spin Drude weight57:20