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Current drag in two leg quantum ladders
Affiliation:1. Institute of Botany, Jiangsu Province and Chinese Academy of Sciences, Nanjing Botanical Garden, Mem. Sun Yat-Sen, Nanjing 210014, China;2. Modouo Science and Technology Communication Center, Maowei Science and Technology Ltd., China;1. Semiconductor Research Lab, Department of Physics, Gurukula Kangri University, Haridwar, India;2. Department of Physics, University of the Free State, Bloemfontein, South Africa;1. Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile;2. Department of Solid State Physics, Yerevan State University, Alex Manoogian 1, 0025 Yerevan, Armenia;3. National University of Architecture and Construction of Armenia, Teryan 105, 0009 Yerevan, Armenia;4. SUPA School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, United Kingdom;1. The Department of Physics, Guangxi Medical University, Nanning, Guangxi 530021, China;2. School of Physics and Electronics, Yancheng Teachers University, Yancheng 224051, PR China
Abstract:A two-leg ladder of either interacting bosons or tightly bound cooper pairs is investigated when a supercurrent is forced in one of the legs of the ladder. The two legs of the ladder are connected by a tunneling term. Using a bosonization representation of such an interacting ladder we show that up to a certain critical current the current in the first wire induces an identical supercurrent in the second wire. When this threshold is exceeded vortices are formed in the system and the current in the second wire reduces even if the driving current increases. Potential applications to condensed matter or cold atomic systems are discussed.
Keywords:Ladder  Bosonization  Transport  Superfluidity  Superconductivity
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