2001
DOI: 10.1103/physrevlett.86.3925
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Signal Velocity, Causality, and Quantum Noise in Superluminal Light Pulse Propagation

Abstract: We consider pulse propagation in a linear anomalously dispersive medium where the group velocity exceeds the speed of light in vacuum ( c) or even becomes negative. A signal velocity is defined operationally based on the optical signal-to-noise ratio, and is computed for cases appropriate to the recent experiment where such a negative group velocity was observed. It is found that quantum fluctuations limit the signal velocity to values less than c.

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Cited by 190 publications
(121 citation statements)
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References 18 publications
(23 reference statements)
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“…Many of these works have discussed the relativistic or "Einstein causality" principle, i.e., the limiting role of the velocity of light in the transmission of signals [13,14,15,16,17,18,19], which must be applicable to relativistic wave equations; the influence of the different wavepacket regions (rear, front) in the transmitted signal, also in the non-relativistic case [20]; the attainability of a sensible signal to noise ratio in superluminal experiments with a small number of photons [21,22,23]; or the role of the frequency band limitation of the signals [24,25,26,27,28]. Much less attention has been paid to the consequences of the more primitive and general causality principle stating that "the effect cannot precede the cause".…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Many of these works have discussed the relativistic or "Einstein causality" principle, i.e., the limiting role of the velocity of light in the transmission of signals [13,14,15,16,17,18,19], which must be applicable to relativistic wave equations; the influence of the different wavepacket regions (rear, front) in the transmitted signal, also in the non-relativistic case [20]; the attainability of a sensible signal to noise ratio in superluminal experiments with a small number of photons [21,22,23]; or the role of the frequency band limitation of the signals [24,25,26,27,28]. Much less attention has been paid to the consequences of the more primitive and general causality principle stating that "the effect cannot precede the cause".…”
Section: Introductionmentioning
confidence: 99%
“…[59] For limitations of superluminal propagation due to quantum fluctuations in systems with inverted atomic population see [21,22,23]; the Hartman effect is also affected by dissipation or absorption [53,54] [60] We could try to avoid the interpretational pitfalls of the extrapolated phase time and look instead at the time t out a for a wave packet initially localized near the left edge of the barrier, and with a small spatial width compared to the barrier length d = 2a. In this way one might identify the entrance time and the preparation instant at t = 0 with a tolerable small uncertainty.…”
mentioning
confidence: 99%
“…This extraordinary physical concept was, first, proposed by Veselago in 1968 [27] and then, experimented in the early 2000s by Pendry and Smith [28][29][30][31]. Several experiments confirmed the physical existence of the superluminal and NGD phenomena with negative refractive index media [32][33][34][35][36][37]. In the presence of losses, the NGD generated by NGD passive media is accompanied by excessive losses [15][16][38][39][40].…”
Section: Introductionmentioning
confidence: 99%
“…1(b)] and was investigated in Refs. [18,19,30,31]. The consistent mathematical description of this case can be obtained using Floquet theory [32].…”
Section: Two Pump Fields (Raman Doublet)mentioning
confidence: 99%