TY - JOUR T1 - Quantum behavior of the dc SQUID phase qubit JF - Physical Review B Y1 - 2008 A1 - Kaushik Mitra A1 - F. W. Strauch A1 - C. J. Lobb A1 - J. R. Anderson A1 - F. C. Wellstood A1 - Eite Tiesinga AB - We analyze the behavior of a dc Superconducting Quantum Interference Device (SQUID) phase qubit in which one junction acts as a phase qubit and the rest of the device provides isolation from dissipation and noise in the bias leads. Ignoring dissipation, we find the two-dimensional Hamiltonian of the system and use numerical methods and a cubic approximation to solve Schrodinger's equation for the eigenstates, energy levels, tunneling rates, and expectation value of the currents in the junctions. Using these results, we investigate how well this design provides isolation while preserving the characteristics of a phase qubit. In addition, we show that the expectation value of current flowing through the isolation junction depends on the state of the qubit and can be used for non-destructive read out of the qubit state. VL - 77 UR - http://arxiv.org/abs/0805.3680v1 CP - 21 J1 - Phys. Rev. B U5 - 10.1103/PhysRevB.77.214512 ER -