Adiabatic Tracking of a State: a New Route to Nonequilibrium Physics

Abstract

We present a novel numerical approach to track the response of a quantum system to an external perturbation that is progressively switched-on. The method is applied, within the framework of the density matrix renormalization group technique, to track current-carrying states of interacting fermions in one dimension and in presence of an Aharonov-Bohm magnetic flux. This protocol allows us to access highly excited states. We also discuss the connection with the entanglement entropy of these excited states.

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• Braiding errors in interacting Majorana quantum wires
• Entanglement entropy of low-lying excitation in localized interacting system: Signature of Fock space delocalization
• The Adiabatically Deformed Ensemble: Engineering Non-Thermal States of Matter
• Transitionless intra-cavity quantum state transfer in optomechanical systems
• Inverse Mean Field Theory
• Generalized Josephson effect with arbitrary periodicity in quantum magnets
• Fast non-Abelian geometric gates via transitionless quantum driving