Condensation in finite assemblies of non-interacting Bose-Einstein particles

Goble, D. F.; Trainor, L. E. H.

doi:10.1016/0031-9163(65)90680-3

Cited by 9 publications

(1 citation statement)

References 4 publications

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“…A hierarchy of condensations to subsequent lower-dimensional gases is possible. These Bose-Einstein condensates have been studied both at finite size and in the thermodynamic limit focusing on mathematical structures and general properties (Beau and Zagrebnov, 2010;van den Berg, 1983;van den Berg and Lewis, 1982;van den Berg et al, 1986a,b;Casimir, 1968;van Druten and Ketterle, 1982;Girardeau, 1960Girardeau, , 1965Ketterle and van Druten, 1982;Krueger, 1968;Mullin, 1997;Mullin and Sakhel, 2012;Rehr, 1970;Zobay and Garraway, 2004), in connection with liquid helium in thin films (Douglass et al, 1964;Goble and Trainor, 1965, 1966, 1967Khorana and Douglass, 1965;Mills, 1964;Osborne, 1949), magnetic flux of superconducting rings (Sonin, 1969), and gravito-optical traps (Wallis, 1996). Experimental realizations of effective low dimensional Bose-Einstein condensates with trapped atoms have been reported in (van Amerongen, 2008;van Amerongen et al, 2008;Armijo et al, 2011;Bouchoule et al, 2011;Esteve et al, 2006;Görlitz et al, 2001;Greiner et al, 2001).…”

Section: Role Of Quantum Statisticsmentioning

confidence: 99%

Quantum-enhanced measurements without entanglement

et al. 2018

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Quantum-enhanced measurements exploit quantum mechanical effects for increasing the sensitivity of measurements of certain physical parameters and have great potential for both fundamental science and concrete applications. Most of the research has so far focused on using highly entangled states, which are, however, difficult to produce and to stabilize for a large number of constituents. In the following we review alternative mechanisms, notably the use of more general quantum correlations such as quantum discord, identical particles, or non-trivial Hamiltonians; the estimation of thermodynamical parameters or parameters characterizing non-equilibrium states; and the use of quantum phase transitions. We describe both theoretically achievable enhancements and enhanced sensitivities, not primarily based on entanglement, that have already been demonstrated experimentally, and indicate some possible future research directions. arXiv:1701.05152v2 [quant-ph]

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