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UID:6a47400f38d4b
DTSTART:20260703T130000Z
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TRANSP:OPAQUE
DTEND:20260703T140000Z
LOCATION:Seminar Room
SUMMARY:ICFO | RAÚL HIDALGO SACOTO
CLASS:PUBLIC
DESCRIPTION:We study one-dimensional anyons as a platform to explore the in
 terplay between generalized exchange statistics and many-body correlations
 \, with a view toward experimentally relevant implementations in engineere
 d ultracold atomic systems.\nWe first analyze the momentum distribution of
  N-identical Lieb&ndash\;Liniger anyons with mixed pseudopotential descrip
 tions and derive their asymptotic high-momentum behavior\, identifying uni
 versal coefficients governing the large-momentum tails relevant for time-o
 f-flight measurements.\nWe then investigate internal correlations encoded 
 in the one-body density matrix. Using the mapping between anyonic states a
 nd bosonic mean-field bright-soliton solutions as an analytical tool\, we 
 study the structure of the one-body density matrix and its natural orbital
 s. We show that the corresponding occupation numbers display a universal b
 ehavior\, independent of the specific choice of underlying non interacting
  bosonic state. We further analyze the occupation spectrum and identify si
 gnatures consistent with odd-parity fractional fermionic pairing.\nFinally
 \, we connect these results to experimentally relevant implementations bas
 ed on spin&ndash\;orbit coupled ultracold atoms realizing two distinguisha
 ble bosons in one dimension in the Tonks Girardeau regime\, where effectiv
 e one-dimensional geometries and engineered interactions can be used to em
 ulate anyonic physics. In particular\, the anyonization mechanism can be u
 nderstood as arising from a spin-dependent anyonic gauge field acting on t
 he triplet sector\, leading to controlled exchange-statistics effects.\nOv
 erall\, our results show how generalized exchange statistics govern univer
 sal correlation properties in both momentum-space and reduced-density-matr
 ix observables\, linking anyonic statistics\, many-body coherence\, and ex
 perimentally accessible signatures in one-dimensional quantum systems
DTSTAMP:20260703T045231Z
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