On the tunable superconducting transmission line Hamiltonians: derivation from first principles

• Grant number: 15/23784-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Effective date (Start): February 01, 2016
• Effective date (End): December 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Frederico Borges de Brito
• Grantee: Gabriela Fernandes Martins
• Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

Quantum information processing technology has reached a level of maturity such that discussions about simulating quantum systems have become something tangible in the near future. Among the possible implementations of these quantum simulators, superconducting devices become noticeable for allowing studying the physics of non-equilibrium systems, since the quantum "particles" in these simulators are circuit excitations, not being subject to the conservation laws. In addition, such devices inherit the intense efforts already expended to implement a quantum computer using this architecture, which have led such devices to be known as "artificial atoms". The aim of this research project is to derive from first principles the Hamiltonian of one of the most important components of these superconducting quantum simulators, namely, tunable transmission lines.