Theory of defect production in nonlinear quench across a quantum critical point

Abstract

We study defect production in a quantum system subjected to a nonlinear power law quench which takes it either through a quantum critical or multicritical point or along a quantum critical line. We elaborate on our earlier work [D. Sen, K. Sengupta, S. Mondal, \prl 101, 016806 (2008)] and present a detailed analysis of the scaling of the defect density $n$ with the quench rate $\tau$ and exponent $\al$ for each of the above-mentioned cases. We also compute the correlation functions for defects generated in nonlinear quenches through a quantum critical point and discuss the dependence of the amplitudes of such correlation functions on the exponent $\al$. We discuss several experimental systems where these theoretical predictions can be tested.

9+ pages, v1

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• Kibble-Zurek scaling of the irreversible entropy production
• Dynamics of a quantum phase transition in the Aubry-André-Harper model with $p$-wave superconductivity
• Dynamical relaxation of correlators in periodically driven integrable quantum systems
• Statistics of work distribution in periodically driven closed quantum systems
• Driven quantum spin chain in the presence of noise: Anti-Kibble-Zurek behavior
• Dynamical localization and slow thermalization in a class of disorder-free periodically driven one-dimensional interacting systems
• Work statistics across a quantum critical surface
• Kibble-Zurek mechanism from different angles: The transverse XY model and subleading scalings
• Inhomogeneous adiabatic preparation of a quantum critical ground state in two dimensions
• Separation of the Kibble-Zurek Mechanism from Quantum Criticality
• Noisy quantum phase transitions: an intuitive approach
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Universality in nonlinear passage through the miscible-immiscible phase transition in two component Bose-Einstein condensates
• Dissipation-Induced Deviations from Kibble-Zurek Scaling in Non-Hermitian Quantum Annealing