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Albiez, Thomas

doi:10.3936/586

Cited by 2 publications

(4 citation statements)

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“…We distinguished three different regimes (Rabi, Josephson, and Fock) characterized by a different scaling of the phase sensitivity with the number of particles in a single experiment. While the 1/N scaling can hardly be reached in realistic experiments, the limit ∼ 1/N 3/4 , corresponding to the Josephson regime, can be achieved with current technology [16,17], offering a considerable improvement in phase sensitivity over the shot noise 1/ √ N obtainable in the classical limit. This work was supported by the Department of Energy under the contract W-7405-ENG-36 and DOE Office of Basic Energy Sciences.…”

Section: Discussionmentioning

confidence: 99%

“…As we can see, the limit 1/N can be reached only with a very long adiabatic ramping, a circumstance that is strongly limited by the finite lifetime of the condensate. However, the sub shot-noise limit 1/N 3/4 can be achieved under currently available experimental conditions [16,17]. We remark that, by increasing N while keeping the same initial conditions, there are two interesting effects that take place: i) the minimum of the phase uncertainty tends to coincide with the breakdown of adiabaticity, and ii) the increase of the phase uncertainty after reaching the minimum is rather slow.…”

Section: Diabatic Splittingmentioning

confidence: 99%

“…Condensates, unlike photons, are interacting, and this property seems very promising for the realization of quantum states to use as input of an interferometer to approach the Heisenberg limit. For example, the recent experimental creation of Fock states [15] and of very stable double-well traps [16,17] bodes well for the future of matter-wave interferometry.…”

Section: Introductionmentioning

confidence: 99%

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Sub-shot-noise phase sensitivity with a Bose-Einstein condensate Mach-Zehnder interferometer

et al. 2005

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Bose Einstein Condensates, with their coherence properties, have attracted wide interest for their possible application to ultra precise interferometry and ultra weak force sensors. Since condensates, unlike photons, are interacting, they may permit the realization of specific quantum states needed as input of an interferometer to approach the Heisenberg limit, the supposed lower bound to precision phase measurements. To this end, we study the sensitivity to external weak perturbations of a representative matter-wave Mach-Zehnder interferometer whose input are two Bose-Einstein condensates created by splitting a single condensate in two parts. The interferometric phase sensitivity depends on the specific quantum state created with the two condensates, and, therefore, on the time scale of the splitting process. We identify three different regimes, characterized by a phase sensitivity ∆θ scaling with the total number of condensate particles N as i) the standard quantum limit ∆θ ∼ 1/N 1/2 , ii) the sub shot-noise ∆θ ∼ 1/N 3/4 and the iii) the Heisenberg limit ∆θ ∼ 1/N . However, in a realistic dynamical BEC splitting, the 1/N limit requires a long adiabaticity time scale, which is hardly reachable experimentally. On the other hand, the sub shot-noise sensitivity ∆θ ∼ 1/N 3/4 can be reached in a realistic experimental setting. We also show that the 1/N 3/4 scaling is a rigorous upper bound in the limit N → ∞, while keeping constant all different parameters of the bosonic Mach-Zehnder interferometer.PACS numbers:

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Section: Discussionmentioning

confidence: 99%

Section: Diabatic Splittingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Sub-shot-noise phase sensitivity with a Bose-Einstein condensate Mach-Zehnder interferometer

et al. 2005

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“…Within the mean-field two-state model, the difference between the initial and final oscillations is caused by the change in the adiabatic invariant (of course, in a real system many other complications arise). Such kind of experiments are feasible [50,51].…”

Section: Introductionmentioning

confidence: 99%

Universality in nonadiabatic behavior of classical actions in nonlinear models of Bose-Einstein condensates

Itin

Watanabe

2007

Phys. Rev. E

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We discuss dynamics of approximate adiabatic invariants in several nonlinear models being related to physics of Bose-Einstein condensates (BEC). We show that nonadiabatic dynamics in Feshbach resonance passage, nonlinear Landau-Zener (NLZ) tunnelling, and BEC tunnelling oscillations in a double-well can be considered within a unifying approach based on the theory of separatrix crossings. The separatrix crossing theory was applied previously to some problems of classical mechanics, plasma physics and hydrodynamics, but has not been used in the rapidly growing BEC-related field yet. We derive explicit formulas for the change in the action in several models. Extensive numerical calculations support the theory and demonstrate its universal character. We also discovered a qualitatively new nonlinear phenomenon in a NLZ model which we propose to call separated adiabatic tunnelling (AT).

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Cited by 2 publications

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Sub-shot-noise phase sensitivity with a Bose-Einstein condensate Mach-Zehnder interferometer

Sub-shot-noise phase sensitivity with a Bose-Einstein condensate Mach-Zehnder interferometer

Universality in nonadiabatic behavior of classical actions in nonlinear models of Bose-Einstein condensates

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