Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-PHYS-ENS
Subjects quant-ph
Date Wednesday 22 November 2017
Time 13:45
Institute LKB
Seminar Room Collège de France, salle 2
Speaker's Last Name Petrov
Speaker's First Name Dmitry
Speaker's Email Address
Speaker's Institution LPTMS, Univ Paris-Sud
Title Mesoscopic few-body problem with short-range interactions
Abstract I will describe our work with Betzalel Bazak on the N+1-body fermionic problem in three dimensions [1] and N-boson problem in two dimensions [2]. By developing a new method of solving few-body integral equations we are able to obtain precise results for ground state energies. In particular, we predict a universal pentamer state and five-body Efimov effect for the 4+1 fermionic problem and quantify the few-to-many-body crossover for two-dimensional bosons. I point to Refs. [3] and [4] as a recommended reading. [1] B. Bazak and D.S. Petrov, ``Five-body Efimov effect and universal pentamer in fermionic mixtures'', Phys. Rev. Lett. 118, 083002 (2017) [2] B. Bazak and D.S. Petrov, ``Energy of N two-dimensional bosons with zero-range interactions'', arXiv:1711.02345 [3] Y. Castin, C. Mora, and L. Pricoupenko, ``Four-Body Efimov Effect for Three Fermions and a Lighter Particle'', Phys. Rev. Lett. 105, 223201 (2010) [4] H.-W. Hammer and D. T. Son, ``Universal Properties of Two-Dimensional Boson Droplets'', Phys. Rev. Lett. 93, 250408 (2004)
arXiv Preprint Number

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