Quantum rings for beginners II: Bosons versus fermions

Quantum pumping with ultracold atoms on microchips: fermions versus bosons.

We present a design for simulating quantum pumping of electrons in a mesoscopic circuit with ultracold atoms in a micromagnetic chip trap. We calculate theoretical results for quantum pumping of both bosons and fermions, identifying differences and common features, including geometric behavior and resonance transmission. We analyze the feasibility of experiments with bosonic ;{87}Rb and fermion...

Quantum atom optics with bosons and fermions

Capacities of quantum channels for massive bosons and fermions.

We consider the capacity of classical information transfer for noiseless quantum channels carrying a finite average number of massive bosons and fermions. The maximum capacity is attained by transferring the Fock states generated from the grand-canonical ensemble. Interestingly, the channel capacity for a Bose gas indicates the onset of Bose-Einstein condensation, by changing its qualitative be...

Gaussian quantum Monte Carlo methods for fermions and bosons.

We introduce a new class of quantum Monte Carlo methods, based on a Gaussian quantum operator representation of fermionic states. The methods enable first-principles dynamical or equilibrium calculations in many-body Fermi systems, and, combined with the existing Gaussian representation for bosons, provide a unified method of simulating Bose-Fermi systems. As an application relevant to the Ferm...

Quantum computing for beginners

The paper introduces the basic concepts and principles behind quantum computing and examines in detail Shor’s quantum algorithm for factoring very large numbers. Some basic methodological principles and guidelines for constructing quantum algorithms are stated. The aim is not to provide a formal exposition of quantum computing but to identify its novelty and potential use in tackling NP-hard pr...