dorsal/arxiv
View SchemaFrom Davydov solitons to decoherence-free subspaces: self-consistent propagation of coherent-product states
| Authors | S. Gheorghiu-Svirschevski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0110084 |
| URL | https://arxiv.org/abs/quant-ph/0110084 |
| DOI | 10.1103/PhysRevE.64.051907 |
Abstract
The self-consistent propagation of generalized $D_{1}$ [coherent-product] states and of a class of gaussian density matrix generalizations is examined, at both zero and finite-temperature, for arbitrary interactions between the localized lattice (electronic or vibronic) excitations and the phonon modes. It is shown that in all legitimate cases, the evolution of $D_{1}$ states reduces to the disentangled evolution of the component $D_{2}$ states. The self-consistency conditions for the latter amount to conditions for decoherence-free propagation, which complement the $D_{2}$ Davydov soliton equations in such a way as to lift the nonlinearity of the evolution for the on-site degrees of freedom. Although it cannot support Davydov solitons, the coherent-product ansatz does provide a wide class of exact density-matrix solutions for the joint evolution of the lattice and phonon bath in compatible systems. Included are solutions for initial states given as a product of a [largely arbitrary] lattice state and a thermal equilibrium state of the phonons. It is also shown that external pumping can produce self-consistent Frohlich-like effects. A few sample cases of coherent, albeit not solitonic, propagation are briefly discussed.
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"abstract": "The self-consistent propagation of generalized $D_{1}$ [coherent-product]\nstates and of a class of gaussian density matrix generalizations is examined,\nat both zero and finite-temperature, for arbitrary interactions between the\nlocalized lattice (electronic or vibronic) excitations and the phonon modes. It\nis shown that in all legitimate cases, the evolution of $D_{1}$ states reduces\nto the disentangled evolution of the component $D_{2}$ states. The\nself-consistency conditions for the latter amount to conditions for\ndecoherence-free propagation, which complement the $D_{2}$ Davydov soliton\nequations in such a way as to lift the nonlinearity of the evolution for the\non-site degrees of freedom. Although it cannot support Davydov solitons, the\ncoherent-product ansatz does provide a wide class of exact density-matrix\nsolutions for the joint evolution of the lattice and phonon bath in compatible\nsystems. Included are solutions for initial states given as a product of a\n[largely arbitrary] lattice state and a thermal equilibrium state of the\nphonons. It is also shown that external pumping can produce self-consistent\nFrohlich-like effects. A few sample cases of coherent, albeit not solitonic,\npropagation are briefly discussed.",
"arxiv_id": "quant-ph/0110084",
"authors": [
"S. Gheorghiu-Svirschevski"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"physics.bio-ph"
],
"doi": "10.1103/PhysRevE.64.051907",
"title": "From Davydov solitons to decoherence-free subspaces: self-consistent propagation of coherent-product states",
"url": "https://arxiv.org/abs/quant-ph/0110084"
},
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