|
| related topics |
| {energy, state, states} |
| {temperature, thermal, energy} |
| {entanglement, phys, rev} |
| {information, entropy, channel} |
| {theory, mechanics, state} |
| {equation, function, exp} |
| {state, states, entangled} |
| {cos, sin, state} |
| {bell, inequality, local} |
| {algorithm, log, probability} |
| {operator, operators, space} |
| {qubit, qubits, gate} |
| {field, particle, equation} |
| {vol, operators, histories} |
|
Mean Field Approximations and Multipartite Thermal Correlations
Vlatko Vedral
abstract: The relationship between the mean-field approximations in various interacting
models of statistical physics and measures of classical and quantum
correlations is explored. We present a method that allows us to bound the total
amount of correlations (and hence entanglement) in a physical system in thermal
equilibrium at some temperature in terms of its free energy and internal
energy. This method is first illustrated using two qubits interacting through
the Heisenberg coupling, where entanglement and correlations can be computed
exactly. It is then applied to the one dimensional Ising model in a transverse
magnetic field, for which entanglement and correlations cannot be obtained by
exact methods. We analyze the behavior of correlations in various regimes and
identify critical regions, comparing them with already known results. Finally,
we present a general discussion of the effects of entanglement on the
macroscopic, thermodynamical features of solid-state systems. In particular, we
exploit the fact that a $d$ dimensional quantum system in thermal equilibrium
can be made to corresponds to a d+1 classical system in equilibrium to
substitute all entanglement for classical correlations.
- oai_identifier:
- oai:arXiv.org:quant-ph/0312104
- categories:
- quant-ph
- comments:
- 17 pages, 6 figures
- doi:
- 10.1088/1367-2630/6/1/022
- arxiv_id:
- quant-ph/0312104
- journal_ref:
- New J. Phys. 6: art. no. 22 Feb. 10 (2004)
- created:
- 2003-12-11
Full article ▸
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