Universal quantum entanglement between an oscillator and continuous fields

Journal Article · Sat May 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.052307· OSTI ID:21408785

Haixing, Miao ^[1]; Danilishin, Stefan ^[2]; Yanbei, Chen ^[3]

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1. School of Physics, University of Western Australia, Western Australia 6009 (Australia)
2. Physics Faculty, Moscow State University, Moscow 119991 (Russian Federation)
3. Theoretical Astrophysics 130-33, California Institute of Technology, Pasadena, California 91125 (United States)

Quantum entanglement has been actively sought in optomechanical and electromechanical systems. The simplest system is a mechanical oscillator interacting with a coherent optical field, while the oscillator also suffers from thermal decoherence. With a rigorous functional analysis, we develop a mathematical framework for treating quantum entanglement that involves infinite degrees of freedom. We show that the quantum entanglement is always present between the oscillator and continuous optical field--even when the environmental temperature is high and the oscillator is highly classical. Such a universal entanglement is also shown to be able to survive more than one mechanical oscillation period if the characteristic frequency of the optomechanical interaction is larger than that of the thermal noise. In addition, we introduce effective optical modes that are ordered by the entanglement strength to better understand the entanglement structure, analogously to the energy spectrum of an atomic system. In particular, we derive the optical mode that is maximally entangled with the mechanical oscillator, which will be useful for future quantum computing and encoding information into mechanical degrees of freedom.

• OSTI ID: 21408785
• Journal Information: Physical Review. A, Vol. 81, Issue 5; Other Information: DOI: 10.1103/PhysRevA.81.052307; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMBIENT TEMPERATURE
DEGREES OF FREEDOM
ENERGY SPECTRA
FUNCTIONAL ANALYSIS
INTERACTIONS
NOISE
OPTICAL MODES
OSCILLATIONS
OSCILLATORS
QUANTUM COMPUTERS
QUANTUM ENTANGLEMENT
QUANTUM INFORMATION
COMPUTERS
ELECTRONIC EQUIPMENT
EQUIPMENT
INFORMATION
MATHEMATICS
OSCILLATION MODES
SPECTRA