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Hamiltonian Dynamics and Adiabatic Invariants for Time-Dependent Superconducting Qubit-Oscillators and Resonators in Quantum Computing Systems
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-12
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
An adiabatic invariant, which is a conserved quantity, is useful for studying quantum and classical properties of dynamical systems.
Adiabatic invariants for time-dependent superconducting qubit-oscillator systems and resonators are investigated using the Liouville-von Neumann equation.
At first, we derive an invariant for a simple superconducting qubit-oscillator through the introduction of its reduced Hamiltonian.
Afterwards, an adiabatic invariant for a nanomechanical resonator linearly interfaced with a superconducting circuit, via a coupling with a time-dependent strength, is evaluated using the technique of unitary transformation.
The accuracy of conservation for such invariant quantities is represented in detail.
Based on the results of our developments in this paper, perturbation theory is applicable to the research of quantum characteristics of more complicated qubit systems that are described by a time-dependent Hamiltonian involving nonlinear terms.
American Psychological Association (APA)
Choi, Jeong Ryeol. 2015. Hamiltonian Dynamics and Adiabatic Invariants for Time-Dependent Superconducting Qubit-Oscillators and Resonators in Quantum Computing Systems. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1052873
Modern Language Association (MLA)
Choi, Jeong Ryeol. Hamiltonian Dynamics and Adiabatic Invariants for Time-Dependent Superconducting Qubit-Oscillators and Resonators in Quantum Computing Systems. Advances in Mathematical Physics No. 2015 (2015), pp.1-5.
https://search.emarefa.net/detail/BIM-1052873
American Medical Association (AMA)
Choi, Jeong Ryeol. Hamiltonian Dynamics and Adiabatic Invariants for Time-Dependent Superconducting Qubit-Oscillators and Resonators in Quantum Computing Systems. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1052873
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052873