Poincare recurrence and intermittent destruction of the quantum Kelvin wave cascade in quantum turbulence

George Vahala; Jeffrey Yepez; Linda Vahala; Min Soe; Sean Ziegeler

doi:10.1117/12.850576

16 April 2010 Poincare recurrence and intermittent destruction of the quantum Kelvin wave cascade in quantum turbulence

George Vahala, Jeffrey Yepez, Linda Vahala, Min Soe, Sean Ziegeler

Proceedings Volume 7702, Quantum Information and Computation VIII; 770207 (2010) https://doi.org/10.1117/12.850576
Event: SPIE Defense, Security, and Sensing, 2010, Orlando, Florida, United States

Abstract

A quantum lattice gas algorithm, based on interleaved unitary collide-stream operators, is used to study quantum turbulence of the ground state wave function of a Bose-Einstein condensate (BEC). The Gross-Pitaevskii equation is a Hamiltonian system for a compressible, inviscid quantum fluid. From simulations on a 5760³ grid it was observed that a multi-cascade existed for the incompressible kinetic energy spectrum with universal features: the large spatial scales exhibit a classical Kolmogorov k ^-5/3 spectrum while the very small scales exhibit a quantum Kelvin wave cascade k^-3 spectrum. Under certain conditions one can explicitly determine the Poincare recurrence of initial conditions as well as the intermittent destruction of the Kelvin wave cascade.

Citation Download Citation

George Vahala, Jeffrey Yepez, Linda Vahala, Min Soe, and Sean Ziegeler "Poincare recurrence and intermittent destruction of the quantum Kelvin wave cascade in quantum turbulence", Proc. SPIE 7702, Quantum Information and Computation VIII, 770207 (16 April 2010); https://doi.org/10.1117/12.850576

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available