dorsal/arxiv
View SchemaDecoherence induced by interacting quantum spin baths
| Authors | Davide Rossini, Tommaso Calarco, Vittorio Giovannetti, Simone Montangero, Rosario Fazio |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611242 |
| URL | https://arxiv.org/abs/quant-ph/0611242 |
| DOI | 10.1103/PhysRevA.75.032333 |
| Journal | Phys. Rev. A 75, 032333 (2007) |
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.
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"abstract": "We study decoherence induced on a two-level system coupled to a\none-dimensional quantum spin chain. We consider the cases where the dynamics of\nthe chain is determined by the Ising, XY, or Heisenberg exchange Hamiltonian.\nThis model of quantum baths can be of fundamental importance for the\nunderstanding of decoherence in open quantum systems, since it can be\nexperimentally engineered by using atoms in optical lattices. As an example,\nhere we show how to implement a pure dephasing model for a qubit system coupled\nto an interacting spin bath. We provide results that go beyond the case of a\ncentral spin coupled uniformly to all the spins of the bath, in particular\nshowing what happens when the bath enters different phases, or becomes\ncritical; we also study the dependence of the coherence loss on the number of\nbath spins to which the system is coupled and we describe a\ncoupling-independent regime in which decoherence exhibits universal features,\nirrespective of the system-environment coupling strength. Finally, we establish\na relation between decoherence and entanglement inside the bath. For the Ising\nand the XY models we are able to give an exact expression for the decay of\ncoherences, while for the Heisenberg bath we resort to the numerical\ntime-dependent Density Matrix Renormalization Group.",
"arxiv_id": "quant-ph/0611242",
"authors": [
"Davide Rossini",
"Tommaso Calarco",
"Vittorio Giovannetti",
"Simone Montangero",
"Rosario Fazio"
],
"categories": [
"quant-ph",
"cond-mat.other"
],
"doi": "10.1103/PhysRevA.75.032333",
"journal_ref": "Phys. Rev. A 75, 032333 (2007)",
"title": "Decoherence induced by interacting quantum spin baths",
"url": "https://arxiv.org/abs/quant-ph/0611242"
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