Decoherence alias Loschmidt echo of the environment

Abstract

Entanglement between a quantum system and its environment leads to loss of coherence in the former. In general, the temporal fate of coherences is complicated. Here, we establish the connection between decoherence of a central system and fidelity decay in the environment for a variety of situations, including both, energy conserving and dissipative couplings. We show how properties of unitary time evolution of the environment can be inferred from the non-unitary evolution of coherences in the central system. This opens up promising ways for measuring Loschmidt echoes in a variety of situations.

6 pages, no figures

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• Echo spectroscopy and quantum stability of trapped atoms
• A random matrix formulation of fidelity decay
• Semiclassical evaluation of quantum fidelity
• Theory of quantum Loschmidt echoes
• Decoherence from a Chaotic Environment: An Upside Down "Oscillator" as a Model
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Cited by in corpus (29)

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• System-environment correlations and Non-Markovian dynamics
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• Characterization of Decoherence from an Environmental Perspective
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• Algebraic fidelity decay for local perturbations
• Decoherence and Entanglement Dynamics in Fluctuating Fields
• Unitary equilibration after a quantum quench of a thermal state
• Dissipative quantum oscillator with two competing heat baths
• Single qubit decoherence under a separable coupling to a random matrix environment
• Environment-Assisted Error Correction of Single-Qubit Phase Damping
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• Decoherence, entanglement decay, and equilibration produced by chaotic environments
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• Improving coherence with nested environments
• Stabilizing coherence with nested environments: a numerical study using kicked Ising models
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• Stability of Fock states in a two-component Bose-Einstein condensate with a regular classical counterpart
• Preferred basis derived from eigenstate thermalization hypothesis
• Markovian and non-Markovian dynamics induced by a generic environment
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• Minimal dissipation model for bipartite quantum systems at finite temperature
• One, Two, and $n$ Qubit Decoherence
• A decoherence interpretation of quantum work for adiabatic processes