Boson-Fermion Unification, Superstrings, and Bohmian Mechanics

R. L. Hudson, Kalyanapuram Rangachari Parthasarathy

J. Dobaczewski

Michiel Snoek, Masudul Haque, Stefan Vandoren +1 more

We propose a setup with ultracold atomic gases that can be used to make a nonrelativistic superstring in four spacetime dimensions. In particular, we consider for the creation of the superstring a fermionic atomic gas that is trapped in the core of a vortex in a Bose-Einstein condensate. We explain the required tuning of experimental parameters to achieve supersymmetry between the fermionic atoms and the bosonic modes describing the oscillations in the vortex position. Furthermore, we discuss the experimental consequences of supersymmetry.

J. Dobaczewski

Harish Parthasarathy

This book introduces the vast subject of supersymmetry along with many specific examples of engineering applications, for example: The design of quantum unitary gates using supersymmetric actions Bosonic and Fermionic noise in quantum systems using the Hudson-Parthasarathy quantum stochastic calculus Superstring theory applied to the quantum mechanics of neurons and supersymmetric quantum filtering theory which can, for example, be used to filter out the noise in a cavity resonator electromagnetic field produced by the presence electrons and positrons in a bath surrounding it Simplified versions of super-Yang-Mills theory with gauge and gaugino fields, both transforming under the adjoint representation of the gauge group and elementary super-gravity models have also been introduced All through the book, emphasis is laid upon exploiting the supersymmetry existing in the nature of Boson-Fermion exchange in designing engineering systems like quantum computers and analyzing the performance of systems in the presence of supersymmetric quantum noise.

A. L. Gadelha, M. C. B. Abdalla, Daniel L. Nedel

A generalization of the Thermo Field Dynamics (TFD) for fermionic degrees of freedom is proposed.Such a generalization follows a previous one where the SU(1,1) thermal group was used to obtain the closed bosonic string at finite temperature.The SU(2) thermal group is introduced to construct a general thermal Bogoliubov transformation to get the type IIB superstring at finite temperature.