Squeezed States of the Radiation Field

Zaheer, K.; Zubairy, M. Suhail

doi:10.1016/s1049-250x(08)60200-1

Cited by 37 publications

(10 citation statements)

References 250 publications

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“…Advances in the production of quadrature squeezing stem from the pioneering work of Slusher et al (1985), who first generated and detected quadrature-squeezed light with noise below the vacuum noise level. Quadrature-squeezed light has now been generated and detected in a number of laboratories around the world [for reviews see Kimble and Walls (1987), Loudon and Knight (1987), Saleh (1989, 1990), and Zaheer and Zubairy (1991)]. Motivated partly by these laboratory developments and partly by a desire to have examples to contrast with number-state channels, we consider, in Sec.…”

Section: B Guideposts: What Can Be Found Wherementioning

confidence: 99%

“…The input states for a quadrature-squeezed channel are quadrature-squeezed states of the chosen field modes [for reviews of quadrature-squeezed states, see Kimble and Walls (1987), Loudon and Knight (1987), Saleh (1989, 1990), and Zaheer and Zubairy (1991)]. Relative to a coherent state, a quadrature-squeezed state has reduced quantum uncertainty in one quadrature component, called the squeezed quadrature.…”

Section: Input Channelmentioning

confidence: 99%

“…A squeezed state is generated in processes where several field modes, some pumped by an external laser, interact within a nonlinear medium [for reviews of quadrature-squeezed states, see Kimble and Walls (1987), Loudon and Knight (1987), Saleh (1989, 1990), and Zaheer and Zubairy (1991)]. By a rotation in the complex-amplitude plane (a -> ae*^, a -• ae^), which for an optical-frequency field amounts to choosing an otherwise arbitrary phase, we can always arrange to set <j> = 0, which we do henceforth.…”

Section: S{r4>)a[s{r)]^ = Acoshr + Av^sinhr (517)mentioning

confidence: 99%

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Quantum limits on bosonic communication rates

1994

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The capacity C of a communication channel is the maximum rate at which information can be transmitted without error from the channel's input to its output. The authors review quantum limits on the capacity that can be achieved with linear bosonic communication channels that have input power P. The limits arise ultimately from the Einstein relation that a field quantum at frequency / has energy E = hf. A single linear bosonic channel corresponds to a single transverse mode of the bosonic field-i.e., to a particular spatial dependence in the plane orthogonal to the propagation direction and to a particular spin state or polarization. For a single channel the maximum communication rate is CWB = C 71 "/ m 2) \/2P/3h bits/s. This maximum rate can be achieved by a "number-state channel," in which information is encoded in the number of quanta in the bosonic field and in which this information is recovered at the output by counting quanta. Derivations of the optimum capacity CWB are reviewed. Until quite recently all derivations assumed, explicitly or implicitly, a number-state channel. They thus left open the possibility that other techniques for encoding information on the bosonic field, together with other ways of detecting the field at the output, might lead to a greater communication rate. The authors present their own general derivation of the single-channel capacity upper bound, which applies to any physically realizable technique for encoding information on the bosonic field and to any physically realizable detection scheme at the output. They also review the capacities of coherent communication channels that encode information in coherent states and in quadrature-squeezed states. A three-dimensional bosonic channel can employ many transverse modes as parallel single channels. An upper bound on the information flux that can be transferred down parallel bosonic channels is derived.

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Section: B Guideposts: What Can Be Found Wherementioning

confidence: 99%

Section: Input Channelmentioning

confidence: 99%

Section: S{r4>)a[s{r)]^ = Acoshr + Av^sinhr (517)mentioning

confidence: 99%

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Quantum limits on bosonic communication rates

1994

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“…Typical examples are: (a) a particle after a long free motion [4]; (b) a strongly squeezed state of an oscillator [5]. Under such circumstances the two-dimensional phase space that is effectively claimed will resemble a strongly slanted parallelogram rather than a rectangle.…”

Section: Uncertainty Areamentioning

confidence: 99%

“…I think yes, having in mind a two-dimensional analog of the onedimensional picture underlying (5). As p and q do not commute, I must resort to Wigner's quasi-distribution W(p, q).…”

Section: Uncertainty Areamentioning

confidence: 99%

Uncertainty Relation: From Inequality to Equality

Süssmann

1997

Zeitschrift Für Naturforschung A

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The uncertainty area (5 (p, q): -[J W(p, q) 2 dp dq] ~1 is proposed in place of äp • Öq, and it is shown that each pure quantum state is a minimum uncertainty state in this sense: S (p, q) = 2 n h. For mixed states, on the other hand, d(p, q) > 2nh. In a phase space of 2F(=6N) dimensions, S: = k B • log[<5 f (p, q)/(2nh) F ]with S F (p, q):= [J W(p, q) 2 d pd F q]' 1 is considered as an alternative to von Neumann's entropy S:=k B • trclog~1)].

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Squeezed States of Light in the Second and Third Harmonic Generated by Self‐Squeezed Light

Kielich

Piątek

1993

Advances in Chemical Physics

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Squeezed States of the Radiation Field

Cited by 37 publications

References 250 publications

Quantum limits on bosonic communication rates

Quantum limits on bosonic communication rates

Uncertainty Relation: From Inequality to Equality

Squeezed States of Light in the Second and Third Harmonic Generated by Self‐Squeezed Light

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