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Volumn 82, Issue 2, 2010, Pages

Quantum Zeno suppression of three-body losses in Bose-Einstein condensates

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC BOSE-EINSTEIN CONDENSATE; BOSE-EINSTEIN CONDENSATES; FAST MEASUREMENT; FORM FACTORS; MOLECULAR BINDING ENERGY; POINT INTERACTIONS; QUANTUM EVOLUTION; QUANTUM ZENO EFFECT; SPATIAL STRUCTURE; SPECIAL PROPERTIES; SUPPRESSION MECHANISM;

EID: 77956305049     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.022120     Document Type: Article
Times cited : (23)

References (33)
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    • Note that three-body losses can also be suppressed due to destructive interference of Efimov resonances;
    • Note that three-body losses can also be suppressed due to destructive interference of Efimov resonances;
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    • However, these effects are most relevant to large s-wave scattering lengths as (positive and negative). By contrast, the present investigation is concerned with small (positive) values of as and the three-body recombination into a molecule plus an atom with large opposite momenta (i.e., not an Efimov state); see also [15].
    • However, these effects are most relevant to large s -wave scattering lengths a s (positive and negative). By contrast, the present investigation is concerned with small (positive) values of a s and the three-body recombination into a molecule plus an atom with large opposite momenta (i.e., not an Efimov state); see also [15].
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    • Three-body losses may also induce effective three-body interactions via the quantum Zeno effect, see, e.g., PRLTAO 0031-9007 10.1103/PhysRevLett.102. 040402
    • Three-body losses may also induce effective three-body interactions via the quantum Zeno effect, see, e.g., A. J. Daley, J. M. Taylor, S. Diehl, M. Baranov, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 102.040402 102, 040402 (2009);
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    • This mechanism is particularly strong in a restricted geometry, such as an optical lattice: Imagine two bosons occupying the same lattice site and a third one trying to tunnel to this site. If the decay rate (of three bosons at the same site) is much faster than the tunneling rate, three-body losses effectively act as frequent measurements and thus triple occupancy is suppressed in complete analogy to Eq. (2). An analogous effect works for two-body losses and has already been observed experimentally
    • This mechanism is particularly strong in a restricted geometry, such as an optical lattice: Imagine two bosons occupying the same lattice site and a third one trying to tunnel to this site. If the decay rate (of three bosons at the same site) is much faster than the tunneling rate, three-body losses effectively act as frequent measurements and thus triple occupancy is suppressed in complete analogy to Eq. (2). An analogous effect works for two-body losses and has already been observed experimentally
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    • In these cases, the decay itself acts as a measurement process, and thus the underlying mechanism is very different from the one considered in this article, where the losses in an unrestricted gas are suppressed by external measurements.
    • In these cases, the decay itself acts as a measurement process, and thus the underlying mechanism is very different from the one considered in this article, where the losses in an unrestricted gas are suppressed by external measurements.
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    • Note that the crossover time T* in Eqs. (5) and (11) should not be confused with the time scale τ in Eq. (2) which is sometimes [9] called "quantum Zeno time".
    • Note that the crossover time T * in Eqs. (5) and (11) should not be confused with the time scale τ in Eq. (2) which is sometimes [9] called "quantum Zeno time".
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    • This work studies the inhibition of three-body losses via resonant 2π laser pulses. However, these 2π laser pulses do not correspond to an actual measurement but induce a phase shift. Therefore, this mechanism is not the quantum Zeno effect, but corresponds to passive error correction techniques known in quantum-information theory under the names "spin-echo" or "bang-bang" method
    • This work studies the inhibition of three-body losses via resonant 2 π laser pulses. However, these 2 π laser pulses do not correspond to an actual measurement but induce a phase shift. Therefore, this mechanism is not the quantum Zeno effect, but corresponds to passive error correction techniques known in quantum-information theory under the names "spin-echo" or "bang-bang" method
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    • Nevertheless, both phenomena are based on the crucial difference between summing amplitudes and probabilities in quantum theory. Thus, the repetition rate of the 2π laser pulses should lie in the quantum Zeno regime in order to induce a significant slowdown (in the Fermi-golden rule regime, they would have very little effect), i.e., similar temporal constraints should apply in both cases.
    • Nevertheless, both phenomena are based on the crucial difference between summing amplitudes and probabilities in quantum theory. Thus, the repetition rate of the 2 π laser pulses should lie in the quantum Zeno regime in order to induce a significant slowdown (in the Fermi-golden rule regime, they would have very little effect), i.e., similar temporal constraints should apply in both cases.
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    • It has been shown that the recombination into loosely bound molecules, with a large positive s-wave scattering length as, obeys universal features in the sense that all relevant quantities are unique functions of as. For example, the binding energy Eb of the s-wave bound state takes the simple form Eb=-1/(mas2) from which it follows that k0=2/√3as;
    • It has been shown that the recombination into loosely bound molecules, with a large positive s -wave scattering length a s, obeys universal features in the sense that all relevant quantities are unique functions of a s. For example, the binding energy E b of the s -wave bound state takes the simple form E b = - 1 / (ma s 2) from which it follows that k 0 = 2 / √ 3 a s;
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    • If this universality also extends to the internal structure of W, then the quantum Zeno effect is not applicable in this case.
    • If this universality also extends to the internal structure of W, then the quantum Zeno effect is not applicable in this case.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.