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TT: Fachverband Tiefe Temperaturen
TT 85: Focus Session: Emergent Phenomena in Driven Quantum Many-Body Systems (joint session DY/TT)
TT 85.4: Talk
Thursday, March 15, 2018, 10:45–11:00, EB 107
Entanglement growth and thermalisation after a spatially inhomogeneous quench — Maximilian Schulz1,2, •Chris Hooley1, Roderich Moessner2, and Frank Pollmann3 — 1SUPA, University of St Andrews, UK — 2Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 3Technische Universität München, Germany
We consider a system of spinless fermions in a strong optical lattice plus a harmonic trap and uncorrelated disorder. We subject them to a quantum quench that consists of an instantaneous displacement of the trap centre.
In [1] we presented an analysis of the behaviour of the non-interacting version of the problem. We observe that (a) even weak disorder strongly breaks the parity symmetry of the clean problem, qualitatively changing the nature of the infinite-time steady state, and (b) the approach to this long-time state is extremely slow, since it involves the fermions' tunnelling across a broad 'Bragg-forbidden' region.
Here we show that the ingredients in the above study also present a way to realise slow logarithmic entanglement growth as usually observed in many-body localized systems without disorder and even without interactions. We present evidence for this by a time-evolving block decimation and exact diagonalization analysis of the interacting and non-interacting cases.
[1] M. Schulz, C.A. Hooley, and R. Moessner, Phys. Rev. A. 94, 063643 (2016).