Classical fields and quantum measurement for Bose-Einstein condensate

Hrishikesh Kelkar, Braulio Gutiérrez–Medina, Kevin C. Henderson +1 more

Moritz Hiller, Magnus Rehn, Francesco Petruccione +2 more

We study a Bose-Einstein condensate (BEC) in a double-well potential subject to an unsharp continuous measurement of the atom number in one of the two wells. We investigate the backaction of the measurement on the quantum dynamics and the viability to monitor the ensuing time evolution. For vanishing interatomic interactions, mainly the expectation values of the measured local observable can be inferred from the measurement record. Conversely, in the presence of moderate interatomic interactions, the entire many-body state---modified by the measurement---is monitored with unit fidelity and, at the same time, the measurement effects a transition from quantum to mean-field (classical) behavior of the BEC. We show that this perfect state estimation is possible because the interatomic interactions enhance the information gained via the measurement.

Aranya B. Bhattacherjee, Tarun Kumar

The Bose Statistics were first predicted by the Indian Physicist Satyendra Nath Bose in 1924. Later in 1925, Einstein extended the work of Bose to non-interacting particles.The resulting statistics that came out of the work of Bose and Einstein is known as Bose-Einstein Statistics. It took researchers and scientists nearly 70 years to create the first Bose-Einstein Condensate in the laboratory in 1995. Ever since the discovery of BEC, research in this field has flourished very rapidly both theoretically and experimentally. Discovery of BEC has initiated some new topics such as atom optics, atom interferometry, quantum computation, Cavity Quantum Electrodynamics of BEC, precision measurement, low dimensional physics etc.This book explores some of the exciting new developments in a field, which combines Bose-Einstein Condensates and Optical cavities.Particularly, we show how the transmission spectroscopy can be utilized to measure the properties of the BEC in the optical cavity.

Mark G. Raizen

Ralph Dum

Sebastian Wüster

We study the application of Bose-Einstein condensates (BECs) to simulations of phenomena across a number of disciplines in physics, using theoretical and computational methods. ¶ ...