We describe in detail a general system–bath strategy for investigating the quantum behavior of small systems interacting with complex environments. In this approach, a simplified heat bath is used as a surrogate for realistic environments, and explicit, unitary quantum simulations of the “universe” (the system plus the bath) are performed by means of high-dimensional wave-packet techniques. In this chapter, we describe the underlying Hamiltonians and the related reduced dynamical descriptions, show how to recast real-world problems into this form, introduce some of the methods currently used to deal with high-dimensional quantum dynamics, and present the results of this strategy when applied to numerous problems of physicochemical interest.

Unitary Approaches to Dissipative Quantum Dynamics / M. Bonfanti, R. Martinazzo - In: Research Advances in Quantum Dynamics / [a cura di] P. Bracken. - Prima edizione. - [s.l] : InTech, 2016. - ISBN 9789535124856. - pp. 165-194 [10.5772/62686]

Unitary Approaches to Dissipative Quantum Dynamics

M. Bonfanti
Primo
;
R. Martinazzo
Ultimo
2016

Abstract

We describe in detail a general system–bath strategy for investigating the quantum behavior of small systems interacting with complex environments. In this approach, a simplified heat bath is used as a surrogate for realistic environments, and explicit, unitary quantum simulations of the “universe” (the system plus the bath) are performed by means of high-dimensional wave-packet techniques. In this chapter, we describe the underlying Hamiltonians and the related reduced dynamical descriptions, show how to recast real-world problems into this form, introduce some of the methods currently used to deal with high-dimensional quantum dynamics, and present the results of this strategy when applied to numerous problems of physicochemical interest.
System–bath dynamics; Multi-configuration time-dependent methods; Generalized Langevin equation; Brownian motion; Effective modes
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/487457
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