Vanishing environment-induced decoherence

Abstract

For a central system uniformly coupled to a XY spin-1/2 bath in a transverse field, we explicitly calculate the Loschmidt echo(LE) to characterize decoherence quantitatively. We find that the anisotropy parameter $\gamma$ affects decoherence of the central system sensitively when $\gamma \in [0,1]$% , in particular, the LE becomes unit without varying with time when $\gamma =0$, implying that environment-induced decoherence vanishes . Some other cases in which the LE is unit are discussed also.

4 pages, 2 figures

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• Decoherence from spin environments: Loschmidt echo and quasiparticle excitations
• Single spin probe of Many-Body Localization
• Hahn echo and criticality in spin-chain systems
• Relaxation of antiferromagnetic order and growth of Rényi entropy in a generalized Heisenberg star
• Decoherence of a quantum memory coupled to a collective spin bath