Year: 2017
Type: article
Abstract: We introduce and study the adiabatic dynamics of free-fermion models subject to a local Lindblad bath and in the presence of a time-dependent Hamiltonian. The merit of these models is that they can be solved exactly, and will help us to study the interplay between nonadiabatic transitions and dissipation in many-body quantum systems. After the adiabatic evolution, we evaluate the excess energy (the average value of the Hamiltonian) as a measure of the deviation from reaching the final target ground state. We compute the excess energy in a variety of different situations, where the nature of the bath and the Hamiltonian is modified. We find robust evidence of the fact that an optimal working time for the quantum annealing protocol emerges as a result of the competition between the nonadiabatic effects and the dissipative processes. We compare these results with the matrix-product-operator simulations of an Ising system and show that the phenomenology we found also applies for this more realistic case.
Source: New Journal of Physics
Institutions: Scuola Normale Superiore, Istituto Nanoscienze, National Enterprise for NanoScience and NanoTechnology, Universität Ulm, Saarland University, The Abdus Salam International Centre for Theoretical Physics (ICTP), Scuola Internazionale Superiore di Studi Avanzati, University of Pisa, Istituto Nazionale di Fisica Nucleare, Sezione di Pisa
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,610
Awards: G8576881962, G994386537
OpenAlex ID: W2606456523