Finite Temperature Formalism for Composite Quantum Particles

Combescot, Monique; Shiau, Shiue-Yuan; Chang, Yia-Chung

doi:10.1103/physrevlett.106.206403

Cited by 17 publications

(24 citation statements)

References 19 publications

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“…The inequalities (12) are represented here by the extremal lower and upper bounds (i),(v), which were first shown in [7]; for an alternative proof see [19]. We prove the tighter bounds (ii)-(iv) in the Appendix, and discuss their physical implications in the following Sec.…”

Section: B Normalization Ratio For Extremal Statesmentioning

confidence: 84%

“…For example, weakening the bound between fermions indeed leads to the BEC-BCS crossover [4]. However, even when the constituents of cobosons [5], i.e., of compounds constituted of two fermions, are perfectly bound, it is not granted that the creation and annihilation operators of cobosons obey the bosonic commutation relations and exhibit perfect bosonic behavior: The Pauli principle for the underlying constituents may become relevant and thus jeopardize bosonic dynamics [5][6][7][8][9][10][11][12]. For good bosonic behavior, the occupation probability of any single-fermion state must be low, such that the constituent fermions of the cobosons do not compete for available single-fermion states.…”

Section: Introductionmentioning

confidence: 99%

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Bosonic behavior of entangled fermions

2012

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Two bound, entangled fermions form a composite boson, which can be treated as an elementary boson as long as the Pauli principle does not affect the behavior of many such composite bosons. The departure of ideal bosonic behavior is quantified by the normalization ratio of multi-composite-boson states. We derive the two-fermion-states that extremize the normalization ratio for a fixed single-fermion purity P, and establish general tight bounds for this indicator. For very small purities, P<1/N^2, the upper and lower bounds converge, which allows to quantify accurately the departure from perfectly bosonic behavior, for any state of many composite bosons.Comment: 9 pages, 5 figures, accepted by PR

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Section: B Normalization Ratio For Extremal Statesmentioning

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Bosonic behavior of entangled fermions

2012

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“…In many studies the internal structure of composite particles is neglected. On the other hand, it was noted that in some cases this structure plays an important role [13][14][15][16][17][18][19]. Therefore, it is interesting to see how BEC can be affected by the internal structure of composite bosonic particles.…”

Section: Introductionmentioning

confidence: 99%

Quantum information approach to Bose–Einstein condensation of composite bosons

et al. 2015

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We consider composite bosons (cobosons) comprised two elementary particles, fermions or bosons, in an entangled state. First, we show that the effective number of cobosons implies the level of correlation between the two constituent particles. For the maximum level of correlation, the effective number of cobosons is the same as the total number of cobosons, which can exhibit the original BoseEinstein condensation (BEC). In this context, we study a model of BEC for indistinguishable cobosons with a controllable parameter, i.e., entanglement between the two constituent particles. We find that bi-fermions behave in a predictable way, i.e., the effective number of the ground state coboson is an increasing function of entanglement between a pair of constituent fermions. Interestingly, bi-bosons exhibit the opposite behavior-the effective number of the ground state coboson is a decreasing function of entanglement between a pair of constituent bosons.

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“…We then extended this coboson formalism to finite temperature 24 , paving the way to solving a large variety of coboson many-body effects. The goal of this work is to derive the partition function in the canonical ensemble based on this finite temperature formalism.…”

Section: Introductionmentioning

confidence: 99%

Partition function of N composite bosons

2015

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The partition function of composite bosons ("cobosons" for short) is calculated in the canonical ensemble, with the Pauli exclusion principle between their fermionic components included in an exact way through the finite temperature many-body formalism for composite quantum particles we recently developed. To physically understand the very compact result we obtain, we first present a diagrammatic approach to the partition function of N elementary bosons. We then show how to extend this approach to cobosons with Pauli blocking and interaction between their fermions. These diagrams provide deep insights on the structure of a coboson condensate, paving the way toward the determination of the critical parameters for their quantum condensation.

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Finite Temperature Formalism for Composite Quantum Particles

Cited by 17 publications

References 19 publications

Bosonic behavior of entangled fermions

Bosonic behavior of entangled fermions

Quantum information approach to Bose–Einstein condensation of composite bosons

Partition function of N composite bosons

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