dorsal/arxiv
View SchemaHot entanglement in a simple dynamical model
| Authors | S. Scheel, J. Eisert, P. L. Knight, M. B. Plenio |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0207120 |
| URL | https://arxiv.org/abs/quant-ph/0207120 |
| DOI | 10.1080/09500340308234538 |
| Journal | J. Mod. Opt. 50, 881 (2003) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
How mixed can one component of a bi-partite system be initially and still become entangled through interaction with a thermalized partner? We address this question here. In particular, we consider the question of how mixed a two-level system and a field mode may be such that free entanglement arises in the course of the time evolution according to a Jaynes-Cummings type interaction. We investigate the situation for which the two-level system is initially in mixed state taken from a one-parameter set, whereas the field has been prepared in an arbitrary thermal state. Depending on the particular choice for the initial state and the initial temperature of the quantised field mode, three cases can be distinguished: (i) free entanglement will be created immediately, (ii) free entanglement will be generated, but only at a later time different from zero, (iii) the partial transpose of the joint state remains positive at all times. It will be demonstrated that increasing the initial temperature of the field mode may cause the joint state to become distillable during the time evolution, in contrast to a non-distillable state at lower initial temperatures. We further assess the generated entanglement quantitatively, by evaluating the logarithmic negativity numerically, and by providing an analytical upper bound.
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"abstract": "How mixed can one component of a bi-partite system be initially and still\nbecome entangled through interaction with a thermalized partner? We address\nthis question here. In particular, we consider the question of how mixed a\ntwo-level system and a field mode may be such that free entanglement arises in\nthe course of the time evolution according to a Jaynes-Cummings type\ninteraction. We investigate the situation for which the two-level system is\ninitially in mixed state taken from a one-parameter set, whereas the field has\nbeen prepared in an arbitrary thermal state. Depending on the particular choice\nfor the initial state and the initial temperature of the quantised field mode,\nthree cases can be distinguished: (i) free entanglement will be created\nimmediately, (ii) free entanglement will be generated, but only at a later time\ndifferent from zero, (iii) the partial transpose of the joint state remains\npositive at all times. It will be demonstrated that increasing the initial\ntemperature of the field mode may cause the joint state to become distillable\nduring the time evolution, in contrast to a non-distillable state at lower\ninitial temperatures. We further assess the generated entanglement\nquantitatively, by evaluating the logarithmic negativity numerically, and by\nproviding an analytical upper bound.",
"arxiv_id": "quant-ph/0207120",
"authors": [
"S. Scheel",
"J. Eisert",
"P. L. Knight",
"M. B. Plenio"
],
"categories": [
"quant-ph"
],
"doi": "10.1080/09500340308234538",
"journal_ref": "J. Mod. Opt. 50, 881 (2003)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Hot entanglement in a simple dynamical model",
"url": "https://arxiv.org/abs/quant-ph/0207120"
},
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