4.6 Article

Statistical signatures of states orthogonal to the Fock-state ladder of composite bosons

Journal

PHYSICAL REVIEW A
Volume 94, Issue 5, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.94.053624

Keywords

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Funding

  1. Conselho Nacional de Desenvolvimento Cientifico e Tecnologico do Brasil through a BJT Ciencia sem Fronteiras Fellowship
  2. Spanish MINECO (FEDER funds) [FIS2014-59311-P]
  3. Villum Foundation
  4. Villum Fonden [00007335] Funding Source: researchfish

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The theory of composite bosons (cobosons) made of two fermions [C. K. Law, Phys. Rev. A 71, 034306 (2005); M. C. Tichy et al., Phys. Rev. Lett. 109, 260403 (2012)] converges to ordinary structureless bosons in the limit of infinitely strong entanglement between the fermionic constituents. For finite entanglement, the annihilation operator (c) over cap of a composite boson couples the N-coboson Fock state not only to the (N-1)-coboson state-as for ordinary bosons-but also to a component which is orthogonal to the Fock-state ladder of cobosons. Coupling with states orthogonal to the Fock ladder arises also in dynamical processes of cobosons. Here, with a Gedanken experiment involving both mode splitting and collective Hong-Ou-Mandel-like interference, we derive the characteristic physical signature of the states orthogonal to the Fock ladder generated in the splitting process. This allows us to extract the microscopic properties of many-fermion wave functions from the collective coboson behavior. We show that consecutive beam-splitter dynamics increases the deviation from the ideal bosonic behavior pattern, which opens up a rigorous approach to the falsification of coboson theory.

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