Theory of two-dimensional macroscopic quantum tunneling in YBa${}_2$ Cu${}_3$ O${}_{7-\delta }$ Josephson junctions coupled to an LC circuit

Abstract

We investigate classical thermal activation (TA) and macroscopic quantum tunneling (MQT) for a YBa${}_2$Cu${}_3$O${}_{7-\delta }$ (YBCO) Josephson junction coupled to an LC circuit theoretically. Due to the coupling between the junction and the LC circuit, the macroscopic phase dynamics can be described as the escape process of a fictitious particle with an anisotropic mass moving in a two-dimensional potential. We analytically calculate the escape rate including both the TA and MQT regime by taking into account the peculiar dynamical nature of the system. In addtion to large suppression of the MQT rate at zero temperature, we study details of the temperature dependece of the escape rate across a crossover region. These results are in an excellent agreement with recent experimental data for the MQT and TA rate in a YBCO biepitaxial Josephson junction. Therefore the coupling to the LC circuit is essential in understanding the macroscopic quantum dynamics and the qubit operation based on the YBCO biepitaxial Josephson junctions.

13pages, 7 figures, 1 table, to appear in Phys. Rev. B 80 (2009)

References in corpus (13)

• Coupling Superconducting Qubits via a Cavity Bus
• Resolving photon number states in a superconducting circuit
• Single artificial-atom lasing
• Macroscopic quantum tunneling in a d-wave high-Tc superconductor
• Enhanced Macroscopic Quantum Tunneling in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ Intrinsic Josephson Junction Stacks
• Decoherence due to nodal quasiparticles in d-wave qubits
• Switching Dynamics of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ Intrinsic Josephson junctions: Macroscopic Quantum Tunneling and Self-Heating Effect
• Decoherence in a superconducting flux qubit with a pi-junction
• Theory of Macroscopic Quantum Tunneling in High-T_c c-Axis Josephson Junctions
• Macroscopic quantum tunneling in globally coupled series arrays of Josephson junctions
• Macroscopic quantum tunneling and quasiparticle-tunneling blockade effect in s-wave/d-wave hybrid junctions
• Theory of Macroscopic Quantum Tunneling and Dissipation in High-Tc Josephson Junctions
• Possible observation of energy level quantization in an intrinsic Josephson junction

Cited by in corpus (3)

• Macroscopic quantum tunneling in multigap superconducting Josephson junctions: Escape rate enhancement via quantum fluctuations of Josephson-Leggett mode
• Theory of macroscopic quantum tunneling with Josephson-Leggett collective excitations in multi-band superconducting Josephson junctions
• Two-dimensional macroscopic quantum tunneling in multi-gap superconductor Josephson junctions