Quantum quenches with long range interactions

Abstract

We extend the theory of quantum quenches to the case of $d$-dimensional homogeneous systems with long range interactions. This is achieved treating the long range interactions as switched on by the quench and performing the derivation within the basis of asymptotic states of the short range interacting pre-quench theory. In this way we analytically determine the post-quench state and the one-point functions of local observables such as the order parameter. One implication is that, as in the short range case, some oscillations induced by the quench remain undamped at large times under conditions specified by the theory. This explains, in particular, why such undamped oscillations have been numerically observed also in presence of long range interactions.

Comments added, published version

References in corpus (24)

• Probing many-body dynamics on a 51-atom quantum simulator
• Strong and weak thermalization of infinite non-integrable quantum systems
• Real time confinement following a quantum quench to a non-integrable model
• Quench dynamics across quantum critical points
• Long-range interacting quantum systems
• Diverging equilibration times in long-range quantum spin models
• The isolated Heisenberg magnet as a quantum time crystal
• Integrable field theory and critical phenomena. The Ising model in a magnetic field
• Protected quasi-locality in quantum systems with long-range interactions
• Entanglement Oscillations near a Quantum Critical Point
• Universal Scaling Laws for Correlation Spreading in Quantum Systems with Short- and Long-Range Interactions
• On the theory of quantum quenches in near-critical systems
• Bound states in two-dimensional spin systems near the Ising limit: A quantum finite-lattice study
• Metastability and discrete spectrum of long-range systems
• Bound states and glueballs in three-dimensional Ising systems
• Bound states of the ${\varphi }^4$ model via the nonperturbative renormalization group
• Correlation spreading and properties of the quantum state in quench dynamics
• Long-range interacting systems are locally non-interacting
• Persistent oscillations after quantum quenches in $d$ dimensions
• Persistent oscillations after quantum quenches: The inhomogeneous case
• Space of initial conditions and universality in nonequilibrium quantum dynamics
• Quantum quenches from an excited state
• On unitary time evolution out of equilibrium
• Magnon-bound-state hierarchy for the two-dimensional transverse-field Ising model in the ordered phase