University of Oulu

M P Silveri et al 2017 Rep. Prog. Phys. 80 056002

Quantum systems under frequency modulation

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Author: Silveri, M P1,2; Tuorila, J A1,3; Thuneberg, E V1;
Organizations: 1Department of Physics, University of Oulu, PO Box 3000, FI-90014, Finland
2Department of Physics, Yale University, New Haven, CT 06520, United States of America
3Department of Applied Physics, Aalto University School of Science, Aalto University, PO Box 15100, FI-00076 AALTO, Finland
Format: article
Version: accepted version
Access: embargoed
Persistent link: http://urn.fi/urn:nbn:fi-fe201706087084
Language: English
Published: Institute of Physics, 2017
Publish Date: 2018-04-05
Description:

Abstract

We review the physical phenomena that arise when quantum mechanical energy levels are modulated in time. The dynamics resulting from changes in the transition frequency is a problem studied since the early days of quantum mechanics. It has been of constant interest both experimentally and theoretically since, with the simple two-state model providing an inexhaustible source of novel concepts. When the transition frequency of a quantum system is modulated, several phenomena can be observed, such as Landau–Zener–Stückelberg–Majorana interference, motional averaging and narrowing, and the formation of dressed states with the appearance of sidebands in the spectrum. Adiabatic changes result in the accumulation of geometric phases, which can be used to create topological states. In recent years, an exquisite experimental control in the time domain was gained through the parameters entering the Hamiltonian, and high-fidelity readout schemes allowed the state of the system to be monitored non-destructively. These developments were made in the field of quantum devices, especially in superconducting qubits, as a well as in atomic physics, in particular in ultracold gases. As a result of these advances, it became possible to demonstrate many of the fundamental effects that arise in a quantum system when its transition frequencies are modulated. The purpose of this review is to present some of these developments, from two-state atoms and harmonic oscillators to multilevel and many-particle systems.

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Series: Reports on progress in physics
ISSN: 0034-4885
ISSN-E: 1361-6633
ISSN-L: 0034-4885
Volume: 80
Issue: 5
Article number: 056002
DOI: 10.1088/1361-6633/aa5170
OADOI: https://oadoi.org/10.1088/1361-6633/aa5170
Type of Publication: A2 Review article in a scientific journal
Field of Science: 114 Physical sciences
Subjects:
Funding: MPS acknowledges funding from the Finnish Academy of Science and Letters (Vilho, Yrjjö and Kalle Väisälä Foundation), Alfred Kordelin Foundation, the National Graduate School of Materials Physics, Army Research Office W911NF-14-1-0011 and NSF DMR- 1301798. JAT acknowledges support from the Academy of Finland (Centre of Excellence in Computational Nanoscience, projects 251748 and 284621). EVT acknowledges funding from the Academy of Finland and Tauno Tönning foundation. GSP acknowledges the Centre of Quantum Engineering (CQE) at Aalto University as well as support from the Academy of Finland (project 263457 and Center of Excellence in Low TemperatureQuantum Phenomena and Devices - project 250280) and FQXi.
Copyright information: © 2017 IOP Publishing Ltd. Published in this repository with the kind permission of the publisher.