Non-Markovian temperature sensing

Zhang, Ze-Zhou; Wu, Wei

doi:10.1103/physrevresearch.3.043039

Cited by 14 publications

(6 citation statements)

References 67 publications

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“…The above two points mean the steady state of the probe shall be Hp+Hc) . This result is quite different from that of the qubit-based temperature sensing case [23], in which the effect of frequency renormalization is fully included in the steady state of the probe. From the above Eq.…”

Section: Breakdown Of the Markovian Approximation In The Long-encodin...contrasting

confidence: 78%

“…The more detailed discussions on the behaviour of F λ (∞) are presented in the subsection III C. The above result means there exists an optimal encoding time which can maximize the QFI. The occurrence of such a maximal QFI with respect to the optimal encoding time originates from the competition between the indispensable encoding and the unavoidable decoherence [23,32], which are induced by the probereservoir interaction. In Fig.…”

Section: A Non-markovian Dynamics Of the Qfimentioning

confidence: 99%

“…Such a result was also reported in Refs. [23,51] and may be linked to the exchange of information between the thermal reservoir and the probe.…”

Section: A Non-markovian Dynamics Of the Qfimentioning

confidence: 99%

“…Such a quantum superiority is commonly established by employing certain quantum resources, such as quantum entanglement [4][5][6][7][8][9], quantum squeezing [10][11][12][13][14][15] as well as quantum criticality [16][17][18][19][20][21], which have no counterparts in classical physics. By far, the quantum sensing has been widely applied to the studies of various quantum thermometers [22][23][24][25][26][27] and quantum magnetometries [28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

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Continuous-variable quantum sensing of a dissipative reservoir

Sha,

2022

Preprint

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Section: Breakdown Of the Markovian Approximation In The Long-encodin...contrasting

confidence: 78%

Section: A Non-markovian Dynamics Of the Qfimentioning

confidence: 99%

“…Such a result was also reported in Refs. [23,51] and may be linked to the exchange of information between the thermal reservoir and the probe.…”

Section: A Non-markovian Dynamics Of the Qfimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Continuous-variable quantum sensing of a dissipative reservoir

Sha,

2022

Preprint

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“…The spin-boson model has been recently extended to explore dynamics and transport effects using a general coupling operator with both diagonal and off-diagonal couplings 18,[49][50][51][52][53][54][55][56][57][58][59] . For heat transport, the coupling operators to the different reservoirs do not commute.…”

Section: Introductionmentioning

confidence: 99%

Quantum Thermal Transport Beyond Second Order with the Reaction Coordinate Mapping

Anto-Sztrikacs,

Ivander,

Segal

2022

Preprint

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Standard quantum master equation techniques such as the Redfield or Lindblad equations are perturbative to second order in the microscopic system-reservoir coupling parameter λ . As a result, characteristics of dissipative systems, which are beyond second order in λ , are not captured by such tools. Moreover, if the leading order in the studied effect is higher-than-quadratic in λ , a second-order description fundamentally fails even at weak coupling. Here, using the reaction coordinate (RC) quantum master equation framework, we are able to investigate and classify higherthan-second order transport mechanisms. This technique, which relies on the redefinition of the system-environment boundary, allows for the effects of system-bath coupling to be included to high orders. We study steady-state heat current beyond second-order in two models: The generalized spin-boson model with non-commuting system-bath operators and a three-level ladder system. In the latter model heat enters in one transition and it is extracted from a different one. Crucially, we identify two transport pathways: (i) System's current, where heat conduction is mediated by transitions in the system, with the heat current scaling as j q ∝ λ 2 to lowest order in λ . (ii) Inter-bath current, with the thermal baths directly exchanging energy between them, facilitated by the bridging quantum system. To the lowest order in λ , this current scales as j q ∝ λ 4 . These mechanisms are uncovered and examined using numerical and analytical tools. We contend that the RC mapping brings already at the level of the mapped Hamiltonian much insights on transport characteristics.

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Quantum thermal transport beyond second order with the reaction coordinate mapping

Anto-Sztrikacs

Ivander

Segal

2022

The Journal of Chemical Physics

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Standard quantum master equation techniques, such as the Redfield or Lindblad equations, are perturbative to second order in the microscopic system–reservoir coupling parameter λ. As a result, the characteristics of dissipative systems, which are beyond second order in λ, are not captured by such tools. Moreover, if the leading order in the studied effect is higher-than-quadratic in λ, a second-order description fundamentally fails even at weak coupling. Here, using the reaction coordinate (RC) quantum master equation framework, we are able to investigate and classify higher-than-second-order transport mechanisms. This technique, which relies on the redefinition of the system–environment boundary, allows for the effects of system–bath coupling to be included to high orders. We study steady-state heat current beyond second-order in two models: The generalized spin-boson model with non-commuting system–bath operators and a three-level ladder system. In the latter model, heat enters in one transition and is extracted from a different one. Crucially, we identify two transport pathways: (i) System’s current, where heat conduction is mediated by transitions in the system, with the heat current scaling as j q ∝ λ2 to the lowest order in λ. (ii) Inter-bath current, with the thermal baths directly exchanging energy between them, facilitated by the bridging quantum system. To the lowest order in λ, this current scales as j q ∝ λ4. These mechanisms are uncovered and examined using numerical and analytical tools. We contend that the RC mapping brings, already at the level of the mapped Hamiltonian, much insight into transport characteristics.

show abstract

Non-Markovian temperature sensing

Cited by 14 publications

References 67 publications

Continuous-variable quantum sensing of a dissipative reservoir

Continuous-variable quantum sensing of a dissipative reservoir

Quantum Thermal Transport Beyond Second Order with the Reaction Coordinate Mapping

Quantum thermal transport beyond second order with the reaction coordinate mapping

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