Decoherence induced by interacting quantum spin baths

Abstract

We study decoherence induced on a two-level system coupled to a one-dimensional quantum spin chain. We consider the cases where the dynamics of the chain is determined by the Ising, XY, or Heisenberg exchange Hamiltonian. This model of quantum baths can be of fundamental importance for the understanding of decoherence in open quantum systems, since it can be experimentally engineered by using atoms in optical lattices. As an example, here we show how to implement a pure dephasing model for a qubit system coupled to an interacting spin bath. We provide results that go beyond the case of a central spin coupled uniformly to all the spins of the bath, in particular showing what happens when the bath enters different phases, or becomes critical; we also study the dependence of the coherence loss on the number of bath spins to which the system is coupled and we describe a coupling-independent regime in which decoherence exhibits universal features, irrespective of the system-environment coupling strength. Finally, we establish a relation between decoherence and entanglement inside the bath. For the Ising and the XY models we are able to give an exact expression for the decay of coherences, while for the Heisenberg bath we resort to the numerical time-dependent Density Matrix Renormalization Group.

18 pages, 20 figures

References in corpus (30)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Decoherence, einselection, and the quantum origins of the classical
• The density-matrix renormalization group
• Entanglement in quantum critical phenomena
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Real time evolution using the density matrix renormalization group
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Electron Counting Statistics and Coherent States of Electric Current
• Quantum Computers and Dissipation
• Effective quantum spin systems with ion traps
• Entanglement of atoms via cold controlled collisions
• Controlled Collisions for Multiparticle Entanglement of Optically Trapped Atoms
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Maintaining coherence in Quantum Computers
• Theory of the spin bath
• Dynamics of Entanglement in One-Dimensional Spin Systems
• Decoherence from spin environments
• Gaussian Decoherence from Random Spin Environments
• NMR Based Quantum Information Processing: Achievements and Prospects
• Quantum phase transitions and quantum fidelity in free fermion graphs
• Entanglement and Spontaneous Symmetry Breaking in Quantum Spin Models
• Entanglement Sharing and Decoherence in the Spin-Bath
• Decoherence by a chaotic many-spin bath
• Suppression of decoherence via strong intra-environmental coupling
• Conservative chaotic map as a model of quantum many-body environment
• Entanglement and decoherence in near-critical qubit chains
• Vanishing environment-induced decoherence
• Entanglement at the boundary of spin chains near a quantum critical point and in systems with boundary critical points
• A model of deterministic detector with dynamical decoherence

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