On the relation between decoherence and spontaneous symmetry breaking
arXiv:cond-mat/0606140 · doi:10.1103/PhysRevB.74.094430
Abstract
We have recently shown that there is a limit to quantum coherence in many-particle spin qubits due to spontaneous symmetry breaking. These results were derived for the Lieb-Mattis spin model. Here we will show that the underlying mechanism of decoherence in systems with spontaneous symmetry breaking is in fact more general. We present here a generic route to finding the decoherence time associated with spontaneous symmetry breaking in many particle qubits, and subsequently we apply this approach to two model systems, indicating how the continuous symmetries in these models are spontaneously broken and discussing the relation of this symmetry breaking to the thin spectrum. We then present in detail the calculations that lead to the limit to quantum coherence, which is due to energy shifts in the thin spectrum.
14 pages, 5 figures
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- Towards an Experimental Test of Gravity-induced Quantum State Reduction
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- Broken Time Translation Symmetry as a model for Quantum State Reduction
- Spontaneous Symmetry Breaking and Decoherence in Superconductors
- Coherence lifetimes of excitations in an atomic condensate due to the thin spectrum
- Feasibility of Experimental Realization of Entangled Bose-Einstein Condensation
- Quantum spin systems versus Schroedinger operators: A case study in spontaneous symmetry breaking
- Criteria for the absence of quantum fluctuations after spontaneous symmetry breaking
- Decoherence and pointer states in small antiferromagnets: A benchmark test
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- Conductivity scaling and the effects of symmetry-breaking terms in bilayer graphene Hamiltonian
- Limit to manipulation of qubits due to spontaneous symmetry breaking
- Defect Formation Preempts Dynamical Symmetry Breaking in Closed Quantum Systems
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- Effects of Zero Mode and Thin Spectrum on the Life Time of Atomic Bose Einstein Condensates
- Quantum collapses and revivals of a matter wave in the dynamics of symmetry breaking