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DY: Fachverband Dynamik und Statistische Physik

DY 53: Poster: Quantum Dynamics, Chaos and Information; Many Body Systems

DY 53.19: Poster

Donnerstag, 19. März 2020, 15:00–18:00, P1A

Disentanglement Approach to Many-Body Quantum Spin Systems — •Stefano De Nicola — IST Austria

The disentanglement approach provides an exact description of many-body quantum spin systems in terms of classical variables. The resulting formulation can be equally seen as a field theory, amenable to analytical treatments, and a numerical method, whereby quantum dynamics is exactly mapped to an average over an ensemble of classical stochastic trajectories. The disentanglement method is applicable to integrable and non-integrable systems, including those in higher dimensions, within a unified framework, and can be applied both in and out of equilibrium. After discussing the general features of the disentanglement formalism, I illustrate the method by considering in particular its application to quantum quenches in paradigmatic many-body quantum spin systems. In this context, I show that the method can be used to obtain a wide range of observables, computed by numerically evaluating a set of formulae of broad applicability. Further insights on the quantum dynamics can be obtained by investigating the underlying quantum-to-classical correspondence, as recently shown in the case of dynamical quantum phase transitions. Finally, I discuss the strengths and limitations of the current implementation of the method, outlining directions for further developments.