New coherent states of the electromagnetic field

Lu, Eugene Y. C.

doi:10.1007/bf02770161

Cited by 109 publications

(36 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…26, we find that the threshold condition for oscillation E 2 c = rr2/K can be expressed in terms of a critical power P2c for the pumping beam shown in Fig. 1, where (9) 4 C ., E (16) Here, FI,,t is the cavity finesse at the subharmonic cavity mode al; B,^, 2 is the buildup factor associated with the injected power at the cavity mode W 2 (one-way circulating power divided by P 2 in the absence of coupling, K = 0); and ENL is the nonlinear conversion efficiency from Eq. (11).…”

Section: (T) -E-°and(t) + Eandt(t)mentioning

confidence: 86%

“…A quantitative description of the nature of the quantum fluctuations in this system can in fact be obtained precisely along the lines outlined above, but with Hilbert-space operators replacing the classical fields.17-1 9 As before, we work in a rotating frame of frequency X for the subharmonic field and introduce annihilation and creation operators [& 1 (t),&lt (t)] for the intracavity field, where the caret denotes a Hilbert-space operator. The quadrature amplitude 9 0 (t) of the intracavity field is defined by…”

Section: Theoretical Overviewmentioning

confidence: 99%

See 1 more Smart Citation

Squeezed states of light from an optical parametric oscillator

1987

View full text Add to dashboard Cite

Squeezed states of the electromagnetic field are generated by degenerate parametric downconversion in a subthreshold optical parametric oscillator. Reductions in photocurrent noise greater than 60% (-4 dB) below the limit set by the vacuum fluctuations of the field are observed in a balanced homodyne detector. A quantitative comparison with theory suggests that the observed noise reductions result from a field that in the absence of avoidable linear attenuation would be squeezed more than tenfold. A degree of squeezing of approximately fivefold is inferred for the actual field emitted through one mirror of the optical parametric oscillator. An explicit demonstration of the Heisenberg uncertainty principle for the electromagnetic field is made from the measurements, which show that the field state produced by the downconversion process is a state of minimum uncertainty.

show abstract

Section: (T) -E-°and(t) + Eandt(t)mentioning

confidence: 86%

Section: Theoretical Overviewmentioning

confidence: 99%

Squeezed states of light from an optical parametric oscillator

1987

View full text Add to dashboard Cite

show abstract

“…In this case highly squeezed and correlated (k >> I, r -* I) states have a greater tunneling probability than usual coherent states due to a greater energy of fluctuations. However, for moderate values of squeezing and correlation coefficients both increasing and decreasing of tunneling rates are possible, depending on the relations between phases of complex numbers u and v in transfor,nation (7).…”

Section: Tan ( 2~ ) -Ks _ 1 (26)mentioning

confidence: 98%

Physical significance of correlated and squeezed states

Dodonov¹,

Klimov²,

Man’ko³

1991

Group Theoretical Methods in Physics

View full text Add to dashboard Cite

and During last two decades the so called squeezed states were the subject of increasing flow of papers in various fields of quantum physics. It seems rather difficult to cite the first paper, since the history of these states goes back In ref.[13] the concept of correlated states was introduced. These states correspond to the minimal possible value of the lefthand side of the RobertsonSchr6dinger uncertainty relation [14,15] O-p O"q ( 1 -r 2 ) > h2 /4 .Here trp and trq are variances of the momentum and coordinate operators: ~q = (~2) _ (~)2 , while r is the dimensionless correlation coefficient:In the special case of r : 0 (1) turns into the more familiar Heisenberg-Weyl 'uncertainty relation. The explicit form of the correlated state wave function in the coordinate representation is as follows,

show abstract

“…This state I ~ ; flo, va> is a pure state' of the class of Gaussian states treated by Berezin [1J. Pure states of this kind have been discussed and analyzed by Lu [15], Stoler [16], and Yuen [17]. Without loss of generality we take ~=O.…”

Section: (3 )mentioning

confidence: 98%

Detection of Quantum Signals by a Mismatched Receiver

Helstrom

1980

Journal of Information and Optimization Sciences

View full text Add to dashboard Cite

A quantum receiver is modelled as a harmonic oscillator imperfectly matched to the incident signal-bearing field. At the beginning of its interaction with the field the oscillator is primed by being placed in a predetermined quantum state. It is shown how to calculate the state of this oscillator at the end of the observation interval both in the presence and in the absence of an incident coherent signal. As examples the error probabilities of a binary on-off communication system with such a mismatched receiver are calculated (a) for a signal of known phase, the receiver primed with a two-photon coherent state, and (b) for a signal of random phase, the receiver primed with a number eigenstate. In both cases the error probability depends on the mean number of externally available signal photons when the number of photons in the priming state is very large, rather than on the smaller number that would actually be absorbed by the mismatched receiver unprimed.

show abstract

New coherent states of the electromagnetic field

Cited by 109 publications

References 3 publications

Squeezed states of light from an optical parametric oscillator

Squeezed states of light from an optical parametric oscillator

Physical significance of correlated and squeezed states

Detection of Quantum Signals by a Mismatched Receiver

Contact Info

Product

Resources

About