Necessary and sufficient condition for quantum adiabaticity in a driven one-dimensional impurity-fluid system

Abstract

We study under what conditions the quantum adiabaticity is maintained in a closed many-body system consisting of a one-dimensional fluid and an impurity particle dragged through the latter by an external force. We employ an effective theory describing the low-energy sector of the system to derive the time dependence of the adiabaticity figure of merit -- the adiabatic fidelity. We find that in order to maintain adiabaticity in a large system the external force, $F_N$, should vanish with the system size, $N$, as $1/N$ or faster. This improves the necessary adiabatic condition $F_N=O(1/\log N)$ obtained for this system earlier [AIP Conf. Proc. 1936, 020024 (2018)]. Experimental implications of this result and its relation to the quasi-Bloch oscillations of the impurity are discussed.

References in corpus (5)

• Bloch oscillations in one-dimensional spinor gas
• The impact of the injection protocol on an impurity's stationary state
• Impurity Green's function of a one-dimensional Fermi-gas
• Perpetual motion and driven dynamics of a mobile impurity in a quantum fluid
• A Comment On Berry Connections

Cited by in corpus (8)

• Many-body quantum dynamics and induced correlations of Bose polarons
• Dissipative correlated dynamics of a moving impurity immersed in a Bose-Einstein Condensate
• Quantum speed limit for thermal states
• Correlated dynamics of fermionic impurities induced by the counterflow of an ensemble of fermions
• Pulse and continuously driven many-body quantum dynamics of bosonic impurities in a Bose-Einstein condensate
• Characterizing Adiabaticity in Quantum Many-Body Systems at Finite Temperature
• Quantum speed limits for adiabatic evolution, Loschmidt echo and beyond
• Tracking Adiabaticity in Non-Equilibrium Many-Body Systems: The Hard Case of the X-ray Photoemission in Metals