A Trotter-Kato Theorem for Quantum Markov Limits

Luc Bouten; Rolf Gohm; John Gough; Hendra Nurdin

doi:10.1140/epjqt/s40507-015-0024-2

A Trotter-Kato Theorem for Quantum Markov Limits

Luc Bouten, Rolf Gohm, John Gough, Hendra Nurdin

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

1 Dyfyniad (Scopus)

163 Wedi eu Llwytho i Lawr (Pure)

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Using the Trotter-Kato theorem we prove the convergence of the unitary dynamics generated by an increasingly singular Hamiltonian in the case of a single field coupling. The limit dynamics is a quantum stochastic evolution of Hudson-Parthasarathy type, and we establish in the process a graph limit convergence of the pre-limit Hamiltonian operators to the Chebotarev-Gregoratti-von Waldenfels
Hamiltonian generating the quantum Itō evolution.

Iaith wreiddiol	Saesneg
Rhif yr erthygl	9
Nifer y tudalennau	15
Cyfnodolyn	EPJ Quantum Technology
Cyfrol	2
Rhif cyhoeddi	1
Dyddiad ar-lein cynnar	30 Ebr 2015
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1140/epjqt/s40507-015-0024-2
Statws	Cyhoeddwyd - 30 Ebr 2015

Mynediad at Ddogfen

10.1140/epjqt/s40507-015-0024-2Trwydded: CC BY

A Trotter-Kato theorem for quantum Markov limitsFersiwn derfynol wedi’i chyhoeddi, 1.66 MBTrwydded: CC BY

http://arxiv.org/abs/1409.2260

Cysylltiad parhaol

Dolen barhaus

Ffeiliau eraill a chysylltiadau

http://hdl.handle.net/2160/44729

Rolf Gohm
- rogaber.acuk
- Mathemateg - Senior Lecturer
Unigolyn: Dysgu ac Ymchwil

Dyfynnu hyn

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title = "A Trotter-Kato Theorem for Quantum Markov Limits",

abstract = "Using the Trotter-Kato theorem we prove the convergence of the unitary dynamics generated by an increasingly singular Hamiltonian in the case of a single field coupling. The limit dynamics is a quantum stochastic evolution of Hudson-Parthasarathy type, and we establish in the process a graph limit convergence of the pre-limit Hamiltonian operators to the Chebotarev-Gregoratti-von WaldenfelsHamiltonian generating the quantum Itō evolution.",

author = "Luc Bouten and Rolf Gohm and John Gough and Hendra Nurdin",

note = "Sponsorship: EPSRC; Australian Research Council RONO: EP/H016708/1; DP130104191 ",

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AU - Gough, John

AU - Nurdin, Hendra

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PY - 2015/4/30

Y1 - 2015/4/30

N2 - Using the Trotter-Kato theorem we prove the convergence of the unitary dynamics generated by an increasingly singular Hamiltonian in the case of a single field coupling. The limit dynamics is a quantum stochastic evolution of Hudson-Parthasarathy type, and we establish in the process a graph limit convergence of the pre-limit Hamiltonian operators to the Chebotarev-Gregoratti-von WaldenfelsHamiltonian generating the quantum Itō evolution.

AB - Using the Trotter-Kato theorem we prove the convergence of the unitary dynamics generated by an increasingly singular Hamiltonian in the case of a single field coupling. The limit dynamics is a quantum stochastic evolution of Hudson-Parthasarathy type, and we establish in the process a graph limit convergence of the pre-limit Hamiltonian operators to the Chebotarev-Gregoratti-von WaldenfelsHamiltonian generating the quantum Itō evolution.

UR - http://hdl.handle.net/2160/44729

U2 - 10.1140/epjqt/s40507-015-0024-2

DO - 10.1140/epjqt/s40507-015-0024-2

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A Trotter-Kato Theorem for Quantum Markov Limits

Crynodeb

Mynediad at Ddogfen

Cysylltiad parhaol

Ffeiliau eraill a chysylltiadau

Ôl bys

Proffiliau

Rolf Gohm

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