Positive Hamiltonians cannot give exponential decay of positive observables

Author:

Facchi PaoloORCID,Lonigro DavideORCID

Abstract

Abstract The survival probability of a quantum system with a finite ground energy is known to decay subexponentially at large times. Here we show that, under the same assumption, the average value of any quantum observable, whenever well-defined, cannot converge exponentially to an extremal value of the spectrum of the observable. Large-time deviations from the exponential decay are therefore a general feature of quantum systems. As a simple application of these results, we show that, when considering an open quantum system whose dynamics is generated by a Hamiltonian with a finite ground energy, a large-time exponential decay of populations is forbidden, whereas coherences may still decay exponentially.

Funder

Italian National Group of Mathematical Physics

Istituto Nazionale di Fisica Nucleare

National Centre on HPC, Big Data and Quantum Computing

Publisher

IOP Publishing

Subject

General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics

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