COLLECTIVE BEHAVIOR OF COUPLED QUANTUM MECHANICAL OSCILLATORS

Authors

  • L. DAVIDOVA Babeş-Bolyai University, Cluj-Napoca, Romania. Corresponding author e-mail: zneda@phys.ubbcluj.ro
  • Sandor BORBÉLY Babeş-Bolyai University, Faculty of Physics, Cluj-Napoca, Romania. Corresponding author e-mail: sandor.borbely@phys.ubbcluj.ro https://orcid.org/0000-0001-9877-6496
  • Z. NÉDA Babeş-Bolyai University, Faculty of Physics, Cluj-Napoca, Romania. Corresponding author e-mail: zneda@phys.ubbcluj.ro

Keywords:

nonlinear dynamics, collective behavior, quantum synchronization, coupled oscillators.

Abstract

A simple model of coupled oscillators is investigated from the perspective of quantum mechanics. The classical model of two oscillators connected by a common platform can be easily solved analytically, but the quantum system requires a numerical approach. We assume that both the oscillators and the platform are quantum objects in their respective ground states at start and they evolve in time as a connected system. By following numerically this time-evolution we investigate the dynamics of the oscillators and calculate an order parameter that characterizes their correlated time-evolution. We study the order parameter as a function of the oscillators initial state and compare the findings with the equivalent classical system. Interestingly, for a given parameter region we found an enhanced collective behavior in the quantum mechanical system.

Author Biographies

L. DAVIDOVA, Babeş-Bolyai University, Cluj-Napoca, Romania. Corresponding author e-mail: zneda@phys.ubbcluj.ro

Babeş-Bolyai University, Faculty of Physics, 1 Kogălniceanu str., 400084 Cluj-Napoca, Romania. 

Corresponding author e-mail: zneda@phys.ubbcluj.ro

Sandor BORBÉLY, Babeş-Bolyai University, Faculty of Physics, Cluj-Napoca, Romania. Corresponding author e-mail: sandor.borbely@phys.ubbcluj.ro

Babeş-Bolyai University, Faculty of Physics, 1 Kogălniceanu str., 400084 Cluj-Napoca, Romania. Corresponding author e-mail: sandor.borbely@phys.ubbcluj.ro

Z. NÉDA, Babeş-Bolyai University, Faculty of Physics, Cluj-Napoca, Romania. Corresponding author e-mail: zneda@phys.ubbcluj.ro

Babeş-Bolyai University, Faculty of Physics, 1 Kogălniceanu str., 400084 Cluj-Napoca, Romania

Edutus College, Department of Mechatronics, Optics, Mechanical Engineering and Informatics, Bertalan Lajos Street 4-6, Budapest, Hungary

Corresponding author e-mail: zneda@phys.ubbcluj.ro

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STUDIA UBB PHYSICA, Volume 60 (LX), No. 1, June, 2015

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Published

2015-06-30

How to Cite

DAVIDOVA, L., BORBÉLY, S., & NÉDA, Z. (2015). COLLECTIVE BEHAVIOR OF COUPLED QUANTUM MECHANICAL OSCILLATORS. Studia Universitatis Babeș-Bolyai Physica, 60(1), 91–101. Retrieved from http://193.231.18.162/index.php/subbphysica/article/view/5927

Issue

Volume 60, No. 1, 2015

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Articles

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