Nirav Mehta
University of Colorado Boulder
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Publication
Featured researches published by Nirav Mehta.
Journal of Physics B | 2011
Seth T. Rittenhouse; J. von Stecher; J. P. D'Incao; Nirav Mehta; Chris H. Greene
The problem of a few interacting fermions in quantum physics has sparked intense interest, particularly in recent years owing to connections with the behaviour of superconductors, fermionic superfluids and finite nuclei. This review addresses recent developments in the theoretical description of four fermions having finite-range interactions, stressing insights that have emerged from a hyperspherical coordinate perspective. The subject is complicated, so we have included many detailed formulae that will hopefully make these methods accessible to others interested in using them. The universality regime, where the dominant length scale in the problem is the two-body scattering length, is particularly stressed, including its implications for the famous BCS–BEC crossover problem. Derivations and relevant formulae are also included for the calculation of challenging few-body processes such as recombination.
Physical Review Letters | 2009
Nirav Mehta; Seth T. Rittenhouse; J P D’Incao; J. von Stecher; Chris H. Greene
Formulas for the cross section and event rate constant describing recombination of N particles are derived in terms of general S-matrix elements. Our result immediately yields the generalized Wigner threshold scaling for the recombination of N bosons. A semianalytical formula encapsulates the overall scaling with energy and scattering length, as well as resonant modifications by the presence of N-body states near the threshold collision energy in the entrance channel. We then apply our model to the case of four-boson recombination into an Efimov trimer and a free atom.
Physical Review A | 2010
Seth T. Rittenhouse; Nirav Mehta; Chris H. Greene
We address the few-body problem using the adiabatic hyperspherical representation. A general form for the hyperangular Greens function in
Physical Review A | 2009
J. P. D'Incao; Seth T. Rittenhouse; Nirav Mehta; Chris H. Greene
d
Physical Review A | 2008
Nirav Mehta; Seth T. Rittenhouse; J. P. D'Incao; Chris H. Greene
dimensions is derived. The resulting Lippmann-Schwinger equation is solved for the case of three particles with
Physical Review A | 2005
Nirav Mehta; J. R. Shepard
s
Physical Review A | 2007
Nirav Mehta; B. D. Esry; Chris H. Greene
-wave zero-range interactions. Identical particle symmetry is incorporated in a general and intuitive way. Complete semianalytic expressions for the nonadiabatic channel couplings are derived. Finally, a model to describe the atom loss due to three-body recombination for a three-component Fermi gas of
Physical Review A | 2017
Michael L. Wall; Nirav Mehta; Rick Mukherjee; Shah Saad Alam; Kaden R. A. Hazzard
^{6}\mathrm{Li}
Physical Review C | 2003
C Felline; Nirav Mehta; J. Piekarewicz; J. R. Shepard
atoms is presented.
Physical Review A | 2017
Michael L. Wall; Rick Mukherjee; Shah Saad Alam; Nirav Mehta; Kaden R. A. Hazzard
We introduce a major theoretical generalization of existing techniques for handling the three-body problem that accurately describes the interactions among four fermionic atoms. Application to a two-component Fermi gas accurately determines dimer-dimer scattering parameters at finite energies and can give deeper insight into the corresponding many-body phenomena. To account for finite temperature effects, we calculate the energy-dependent complex dimer-dimer scattering length, which includes contributions from elastic and inelastic collisions. Our results indicate that strong finite-energy effects and dimer dissociation are crucial for understanding the physics in the strongly interacting regime for typical experimental conditions. While our results for dimer-dimer relaxation are consistent with experiment, they confirm only partially a previously published theoretical result.