Quantum dynamics of local phase differences between reservoirs of driven interacting bosons separated by simple aperture arrays.
J Phys Condens Matter
; 25(27): 275602, 2013 Jul 10.
Article
en En
| MEDLINE
| ID: mdl-23765419
We present a derivation of the effective action for the relative phase of driven, aperture-coupled reservoirs of weakly-interacting condensed bosons from a (3 + 1)D microscopic model with local U(1) gauge symmetry. We show that inclusion of local chemical potential and driving velocity fields as a gauge field allows derivation of the hydrodynamic equations of motion for the driven macroscopic phase differences across simple aperture arrays. For a single aperture, the current-phase equation for driven flow contains sinusoidal, linear and current-bias contributions. We compute the renormalization group (RG) beta function of the periodic potential in the effective action for small tunneling amplitudes and use this to analyze the temperature dependence of the low-energy current-phase relation, with application to the transition from linear to sinusoidal current-phase behavior observed in experiments by Hoskinson et al (2006 Nature Phys. 2 23-6) for liquid (4)He driven through nanoaperture arrays. Extension of the microscopic theory to a two-aperture array shows that interference between the microscopic tunneling contributions for individual apertures leads to an effective coupling between apertures which amplifies the Josephson oscillations in the array. The resulting multiaperture current-phase equations are found to be equivalent to a set of equations for coupled pendula, with microscopically derived couplings.
Texto completo:
1
Colección:
01-internacional
Base de datos:
MEDLINE
Asunto principal:
Teoría Cuántica
/
Interacciones de Partículas Elementales
/
Análisis por Micromatrices
/
Hidrodinámica
/
Modelos Teóricos
Idioma:
En
Revista:
J Phys Condens Matter
Asunto de la revista:
BIOFISICA
Año:
2013
Tipo del documento:
Article
País de afiliación:
Estados Unidos
Pais de publicación:
Reino Unido