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APS -APS March Meeting 2017 - Event - Convergent expressions for Purcell rate and Lamb shift of superconducting qubit in an open multimode resonator

机译:APS -APS 2017年3月会议-事件-开放式多模谐振器中超导量子位的赛尔速率和兰姆位移的收敛表达式

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The accurate calculation of the Purcell decay rate and the Lamb shift of an atom in an open multimode environment is a long-standing problem. This problem attained a more immediate and practical significance with the advent of quantum information processing with superconducting quantum circuits. It is now recognized that any attempt at the more accurate calculation of circuit QED quantities gives rise to divergent results [1,2] unless high frequency cutoffs are introduced. We resolve this problem by presenting convergent expressions for the Lamb shift and Purcell decay rate of a superconducting qubit coupled to an open multimode resonator. Our calculation is based on a formulation of sub-gap superconducting quantum electrodynamics using a Heisenberg-Langevin approach [3].[1] A. A. Houck extit{et al.}, Phys. Rev. Lett. extbf{101}, 080502 (2008).[2] S. Filipp, extit{et al.}, Phys. Rev. A extbf{83}, 063827 (2011).[3] Moein Malekakhlagh, Alexandru Petrescu, Hakan E. T"{u}reci, arXiv:1609.00359
机译:在开放的多模环境中精确计算赛尔衰变速率和原子的兰姆位移是一个长期存在的问题。随着超导量子电路的量子信息处理的出现,该问题具有更直接和实际的意义。现在已经认识到,除非引入高频截止,否则任何尝试更精确地计算电路QED量的尝试都会导致结果分歧[1,2]。我们通过提供耦合到开放式多模谐振器的超导量子位的Lamb位移和Purcell衰减率的收敛表达式来解决此问题。我们的计算基于使用Heisenberg-Langevin方法[3]的次能隙超导量子电动力学公式。 A. A. Houck extit {et al。},物理学。莱特牧师extbf {101},080502(2008)。[2] S.Filipp,现成的{et al。},物理学。修订版extbf {83},063827(2011)。[3] Moein Malekakhlagh,Alexandru Petrescu,Hakan E.T“ {u} reci,arXiv:1609.00359

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