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We introduce the quantum stochastic differential equation (QSDE) approach to exactly analyze the response of quantum systems to a continuous-mode two-photon input. The QSDE description of the two-photon process allows us to integrate the input-output analysis with the quantum network theory, and so the analytical computability of the output state of a general quantum system can be addressed within this framework. We show that the time-domain two-photon output states can be exactly calculated for a large class of quantum systems including passive linear networks, optomechanical oscillators and two-level emitter in waveguide systems. In particular, we propose to utilise the results for the exact simulation of the stimulated emission as well as the study of the scattering of two-mode photon wave packets.

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“…Please also note that the choice of stochastic calculus would not affect the calculations of physical quantities [25].…”

Section: The Input-output Formalism For Uncorrelated and General Two-mentioning

confidence: 99%

Exact analysis of the response of quantum systems to two-photons using a QSDE approach

Pan

Dong

2016

New J. Phys.

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“…In the following, we assume a different stance with respect to engineering the coupling of two qubits to their environment; namely, we study whether and how gathering information about the time-evolving open quantum system allows one to operate adjustments to the reduced dynamics that are able to generate entanglement at short times that be also robust against dissipation in the long-time regime. These protocols are currently being investigated and are known as filtering [11][12][13][14] and feed-back [14][15][16]; they consist in monitoring the environment, via e.g. homodyne detection, based on whose outcomes modifications of the generator L are operated.…”

Section: Introductionmentioning

confidence: 99%

Entanglement generation through Markovian feed-back in open two-qubit systems

Benatti

Gebbia

Pisoni

2023

J. Phys. A: Math. Theor.

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We discuss the generation and the long-time persistence of entangle- ment in open two-qubit systems whose reduced dissipative dynamics is not apriori engineered but is instead subjected to filtering and Marko- vian feedback. In particular, we analytically study 1.) whether the lat- ter operations may enhance the environment capability of generating entanglement at short times and 2.) whether the generated entagle- ment survives in the long-time regime. We show that, in the case of par- ticularly symmetric Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) it is possible to fully control the convex set of stationary states of the two-qubit reduced dynamics, therefore the asymptotic behaviour of any initial two-qubit state. We then study the impact of a suitable class of feed-back operations on the considered dynamics.

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Bosonic and fermionic white noises and the reflection process

Gough

2000

Theor Math Phys

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Cited by 9 publications

References 12 publications

Exact analysis of the response of quantum systems to two-photons using a QSDE approach

Exact analysis of the response of quantum systems to two-photons using a QSDE approach

Entanglement generation through Markovian feed-back in open two-qubit systems

Bosonic and fermionic white noises and the reflection process

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