Year: 2014
Type: article
Abstract: We show that a closed quantum system driven through a quantum critical point with two rates ${\ensuremath{\omega}}_{1}$ (which controls its proximity to the quantum critical point) and ${\ensuremath{\omega}}_{2}$ (which controls the dispersion of the low-energy quasiparticles at the critical point) exhibits novel scaling laws for defect density $n$ and residual energy $Q$. We demonstrate suppression of both $n$ and $Q$ with increasing ${\ensuremath{\omega}}_{2}$ leading to an alternate route to achieving near-adiabaticity in a finite time for a quantum system during its passage through a critical point. We provide an exact solution for such dynamics with linear drive protocols applied to a class of integrable models, supplement this solution with scaling arguments applicable to generic many-body Hamiltonians, and discuss specific models and experimental systems where our theory may be tested.
Source: Physical Review B
Authors: Jay D. Sau, K. Sengupta
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W2014998838