Quantum Many-Body Adiabaticity, Topological Thouless Pump and Driven Impurity in a One-Dimensional Quantum Fluid
arXiv:1711.05547 · doi:10.1063/1.5025462
Abstract
When it comes to applying the adiabatic theorem in practice, the key question to be answered is how slow "slowly enough" is. This question can be an intricate one, especially for many-body systems, where the limits of slow driving and large system size may not commute. Recently we have shown how the quantum adiabaticity in many-body systems is related to the generalized orthogonality catastrophe [Phys. Rev. Lett. 119, 200401 (2017)]. We have proven a rigorous inequality relating these two phenomena and applied it to establish conditions for the quantized transport in the topological Thouless pump. In the present contribution we (i) review these developments and (ii) apply the inequality to establish the conditions for adiabaticity in a one-dimensional system consisting of a quantum fluid and an impurity particle pulled through the fluid by an external force. The latter analysis is vital for the correct quantitative description of the phenomenon of quasi Bloch oscillations in a one-dimensional translation invariant impurity-fluid system.
presented at the International Conference on Quantum Technologies, Moscow, July 12 - 16, 2017
References in corpus (9)
- Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
- Breakdown of the adiabatic limit in low dimensional gapless systems
- Non-adiabacity and large flucutations in a many particle Landau Zener problem
- Bloch oscillations in one-dimensional spinor gas
- Adiabatic Theorem for Quantum Spin Systems
- Many body generalization of the Landau Zener problem
- Impurity Green's function of a one-dimensional Fermi-gas
- Eigenvector dynamics: general theory and some applications
- Perpetual motion and driven dynamics of a mobile impurity in a quantum fluid