Abstract
We predict the existence of high frequency modes in the interference pattern of two condensates made of fermionic-atom dimers. These modes, which result from fermion exchanges between condensates, constitute a striking signature of the dimer composite nature. From the 2-coboson spatial correlation function, that we derive analytically, and the Shiva diagrams that visualize many-body effects specific to composite bosons, we identify the physical origin of these high frequency modes and determine the conditions to see them experimentally by using bound fermionic-atom pairs trapped on optical lattice sites. The dimer granularity which appears in these modes comes from Pauli blocking that prevents two dimers to be located at the same lattice site.
Highlights
All particles consisting of an even number of fermions are boson-like
It has been shown from the study of Wannier excitons, Frenkel excitons and Cooper pairs [10], that the dimensionless parameter which rules composite boson many-body effects physically corresponds to η = N/Nmax, where Nmax is the number of cobosons that
We address the commonly bypassed consequences of the particle composite nature in cold-atom physics, by considering the interference pattern of two condensates made of dimers
Summary
All particles consisting of an even number of fermions are boson-like. this property merely derives from a mathematical fact—the particle creation operators commute—the boson-like nature of the particles bears a strong consequence: they must undergo Bose-Einstein condensation (BEC). We can cite the exciton optical Stark effect [13, 14, 15] and the coexistence of dark and bright condensates [16, 17] that results [18] from the coupling, through fermion exchange, between bright excitons with spin ±1 and dark excitons with spin ±2 It has been shown from the study of Wannier excitons, Frenkel excitons and Cooper pairs [10], that the dimensionless parameter which rules composite boson many-body effects physically corresponds to η = N/Nmax, where Nmax is the number of cobosons that. In the case of heteronuclear dimers, dense optical lattice samples of RbCs [24] and KRb [25, 26] have been reported These studies open an exciting route in the field of cold atoms, toward studying the rich yet essentially unknown world of many-body effects resulting from dimensionless fermion (or boson) exchanges, that is, exchanges occurring between quantum particles in the absence of energy-like particle-particle interaction.
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