Local versus global master equation with common and separate baths: superiority of the global approach in partial secular approximation

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Local versus global master equation with common and separate baths : superiority of the global approach in partial secular approximation. / Cattaneo, Marco; Luca Giorgi, Gian; Maniscalco, Sabrina; Zambrini, Roberta.

julkaisussa: New Journal of Physics, Vuosikerta 21, Nro 11, 113045, 11.2019.

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

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Bibtex - Lataa

@article{0445a171f1134c01935e3bf38ba18c43,
title = "Local versus global master equation with common and separate baths: superiority of the global approach in partial secular approximation",
abstract = "Open systems of coupled qubits are ubiquitous in quantum physics. Finding a suitable master equation to describe their dynamics is therefore a crucial task that must be addressed with utmost attention. In the recent past, many efforts have been made toward the possibility of employing local master equations, which compute the interaction with the environment neglecting the direct coupling between the qubits, and for this reason may be easier to solve. Here, we provide a detailed derivation of the Markovian master equation for two coupled qubits interacting with common and separate baths, considering pure dephasing as well as dissipation. Then, we explore the differences between the local and global master equation, showing that they intrinsically depend on the way we apply the secular approximation. Our results prove that the global approach with partial secular approximation always provides the most accurate choice for the master equation when Born?Markov approximations hold, even for small inter-system coupling constants. Using different master equations we compute the stationary heat current between two separate baths, the entanglement dynamics generated by a common bath, and the emergence of spontaneous synchronization, showing the importance of the accurate choice of approach.",
keywords = "Markovian master equation, secular approximation, coupled qubits, common and separate baths, OPEN-SYSTEM, QUANTUM, QUBITS, TRANSPORT, DYNAMICS, MEMORY",
author = "Marco Cattaneo and {Luca Giorgi}, Gian and Sabrina Maniscalco and Roberta Zambrini",
year = "2019",
month = "11",
doi = "10.1088/1367-2630/ab54ac",
language = "English",
volume = "21",
journal = "New Journal of Physics",
issn = "1367-2630",
publisher = "IOP Publishing Ltd.",
number = "11",

}

RIS - Lataa

TY - JOUR

T1 - Local versus global master equation with common and separate baths

T2 - superiority of the global approach in partial secular approximation

AU - Cattaneo, Marco

AU - Luca Giorgi, Gian

AU - Maniscalco, Sabrina

AU - Zambrini, Roberta

PY - 2019/11

Y1 - 2019/11

N2 - Open systems of coupled qubits are ubiquitous in quantum physics. Finding a suitable master equation to describe their dynamics is therefore a crucial task that must be addressed with utmost attention. In the recent past, many efforts have been made toward the possibility of employing local master equations, which compute the interaction with the environment neglecting the direct coupling between the qubits, and for this reason may be easier to solve. Here, we provide a detailed derivation of the Markovian master equation for two coupled qubits interacting with common and separate baths, considering pure dephasing as well as dissipation. Then, we explore the differences between the local and global master equation, showing that they intrinsically depend on the way we apply the secular approximation. Our results prove that the global approach with partial secular approximation always provides the most accurate choice for the master equation when Born?Markov approximations hold, even for small inter-system coupling constants. Using different master equations we compute the stationary heat current between two separate baths, the entanglement dynamics generated by a common bath, and the emergence of spontaneous synchronization, showing the importance of the accurate choice of approach.

AB - Open systems of coupled qubits are ubiquitous in quantum physics. Finding a suitable master equation to describe their dynamics is therefore a crucial task that must be addressed with utmost attention. In the recent past, many efforts have been made toward the possibility of employing local master equations, which compute the interaction with the environment neglecting the direct coupling between the qubits, and for this reason may be easier to solve. Here, we provide a detailed derivation of the Markovian master equation for two coupled qubits interacting with common and separate baths, considering pure dephasing as well as dissipation. Then, we explore the differences between the local and global master equation, showing that they intrinsically depend on the way we apply the secular approximation. Our results prove that the global approach with partial secular approximation always provides the most accurate choice for the master equation when Born?Markov approximations hold, even for small inter-system coupling constants. Using different master equations we compute the stationary heat current between two separate baths, the entanglement dynamics generated by a common bath, and the emergence of spontaneous synchronization, showing the importance of the accurate choice of approach.

KW - Markovian master equation

KW - secular approximation

KW - coupled qubits

KW - common and separate baths

KW - OPEN-SYSTEM

KW - QUANTUM

KW - QUBITS

KW - TRANSPORT

KW - DYNAMICS

KW - MEMORY

U2 - 10.1088/1367-2630/ab54ac

DO - 10.1088/1367-2630/ab54ac

M3 - Article

VL - 21

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

IS - 11

M1 - 113045

ER -

ID: 40239869