Squeezing in harmonic oscillators with time-dependent frequencies

Journal Article · Wed Feb 15 04:00:00 EST 1989 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.39.1941· OSTI ID:6433487

Ma, X; Rhodes, W

It is shown that squeezing will inevitably be generated in a harmonic oscillator with time-dependent frequency for any nonvanishing rate of frequency change, sudden or smooth. The general form of the time-dependent transition probabilities among the eigenstates of the initial Hamiltonian is obtained with an exact operator approach. Results for the case of a sudden frequency jump are explicitly given as an illustration. It is also pointed out that to generate squeezing in a harmonic oscillator, the Hamiltonian does not have to be a unitary squeeze transformation of the free Hamiltonian.

• Research Organization: Department of Chemistry, Florida State University, Tallahassee, Florida 32306
• OSTI ID: 6433487
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 39:4; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
ELECTRONIC EQUIPMENT
ENERGY-LEVEL TRANSITIONS
EQUATIONS
EQUATIONS OF MOTION
EQUIPMENT
HAMILTONIANS
HARMONIC OSCILLATORS
MATHEMATICAL OPERATORS
NOISE
OSCILLATORS
PARTIAL DIFFERENTIAL EQUATIONS
PROBABILITY
QUANTIZATION
QUANTUM OPERATORS