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Schlottmann E, Schicke D, Krüger F, Lingnau B, Schneider C, Höfling S, Lüdge K, Porte X, Reitzenstein S. Stochastic polarization switching induced by optical injection in bimodal quantum-dot micropillar lasers. OPTICS EXPRESS 2019; 27:28816-28831. [PMID: 31684627 DOI: 10.1364/oe.27.028816] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/30/2019] [Accepted: 08/02/2019] [Indexed: 06/10/2023]
Abstract
Mutual coupling and injection locking of semiconductor lasers is of great interest in non-linear dynamics and its applications for instance in secure data communication and photonic reservoir computing. Despite its importance, it has hardly been studied in microlasers operating at μW light levels. In this context, vertically emitting quantum dot micropillar lasers are of high interest. Usually, their light emission is bimodal, and the gain competition of the associated linearly polarized fundamental emission modes results in complex switching dynamics. We report on selective optical injection into either one of the two fundamental mode components of a bimodal micropillar laser. Both modes can lock to the master laser and influence the non-injected mode by reducing the available gain. We demonstrate that the switching dynamics can be tailored externally via optical injection in very good agreement with our theory based on semi-classical rate equations.
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Holzinger S, Schneider C, Höfling S, Porte X, Reitzenstein S. Quantum-dot micropillar lasers subject to coherent time-delayed optical feedback from a short external cavity. Sci Rep 2019; 9:631. [PMID: 30679506 PMCID: PMC6345807 DOI: 10.1038/s41598-018-36599-3] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/04/2018] [Accepted: 11/23/2018] [Indexed: 11/09/2022] Open
Abstract
We investigate the mode-switching dynamics of an electrically driven bimodal quantum-dot micropillar laser when subject to delayed coherent optical feedback from a short external cavity. We experimentally characterize how the external cavity length, being on the same order than the microlaser's coherence length, influences the spectral and dynamical properties of the micropillar laser. Moreover, we determine the relaxation oscillation frequency of the micropillar by superimposing optical pulse injection to a dc current. It is found that the optical pulse can be used to disturb the feedback-coupled laser within one roundtrip time in such a way that it reaches the same output power as if no feedback was present. Our results do not only expand the understanding of microlasers when subject to optical feedback from short external cavities, but pave the way towards tailoring the properties of this key nanophotonic system for studies in the quantum regime of self-feedback and its implementation to integrated photonic circuits.
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Affiliation(s)
- Steffen Holzinger
- Institut für Festkörperphysik, Quantum Devices Group, Technische Universität Berlin, Hardenbergstraße 36, 10623, Berlin, Germany
| | - Christian Schneider
- Technische Physik, Universität Würzburg, Am Hubland, 97074, Würzburg, Germany
| | - Sven Höfling
- Technische Physik, Universität Würzburg, Am Hubland, 97074, Würzburg, Germany
- SUPA, School of Physics and Astronomy, University of St Andrews, St Andrews, KY16 9SS, United Kingdom
| | - Xavier Porte
- Institut für Festkörperphysik, Quantum Devices Group, Technische Universität Berlin, Hardenbergstraße 36, 10623, Berlin, Germany.
| | - Stephan Reitzenstein
- Institut für Festkörperphysik, Quantum Devices Group, Technische Universität Berlin, Hardenbergstraße 36, 10623, Berlin, Germany.
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Holzinger S, Redlich C, Lingnau B, Schmidt M, von Helversen M, Beyer J, Schneider C, Kamp M, Höfling S, Lüdge K, Porte X, Reitzenstein S. Tailoring the mode-switching dynamics in quantum-dot micropillar lasers via time-delayed optical feedback. OPTICS EXPRESS 2018; 26:22457-22470. [PMID: 30130939 DOI: 10.1364/oe.26.022457] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/10/2018] [Accepted: 07/20/2018] [Indexed: 06/08/2023]
Abstract
Microlasers are ideal candidates to bring the fascinating variety of nonlinear complex dynamics found in delay-coupled systems to the realm of quantum optics. Particularly attractive is the possibility of tailoring the devices' emission properties via non-invasive delayed optical coupling. However, until now scarce research has been done in this direction. Here, we experimentally and theoretically investigate the effects of delayed optical feedback on the mode-switching dynamics of an electrically driven bimodal quantum-dot micropillar laser, characterizing its impact on the micropillar's output power, optical spectrum and photon statistics. Feedback is found to influence the switching dynamics and its characteristics time scales. In addition, stochastic switching is reduced with the subsequent impact on the microlaser photon statistics. Our results contribute to the comprehension of feedback-induced phenomena in micropillar lasers and pave the way towards the external control and tailoring of the properties of these key systems for the nanophotonics community.
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Gegg M, Richter M. PsiQuaSP-A library for efficient computation of symmetric open quantum systems. Sci Rep 2017; 7:16304. [PMID: 29176634 PMCID: PMC5701261 DOI: 10.1038/s41598-017-16178-8] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/06/2017] [Accepted: 11/06/2017] [Indexed: 12/02/2022] Open
Abstract
In a recent publication we showed that permutation symmetry reduces the numerical complexity of Lindblad quantum master equations for identical multi-level systems from exponential to polynomial scaling. This is important for open system dynamics including realistic system bath interactions and dephasing in, for instance, the Dicke model, multi-Λ system setups etc. Here we present an object-oriented C++ library that allows to setup and solve arbitrary quantum optical Lindblad master equations, especially those that are permutationally symmetric in the multi-level systems. PsiQuaSP (Permutation symmetry for identical Quantum Systems Package) uses the PETSc package for sparse linear algebra methods and differential equations as basis. The aim of PsiQuaSP is to provide flexible, storage efficient and scalable code while being as user friendly as possible. It is easily applied to many quantum optical or quantum information systems with more than one multi-level system. We first review the basics of the permutation symmetry for multi-level systems in quantum master equations. The application of PsiQuaSP to quantum dynamical problems is illustrated with several typical, simple examples of open quantum optical systems.
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Affiliation(s)
- Michael Gegg
- Institut für Theoretische Physik, Nichtlineare Optik und Quantenelektronik, Technische Universität Berlin, Hardenbergstr, 36 EW 7-1, 10623, Berlin, Germany.
| | - Marten Richter
- Institut für Theoretische Physik, Nichtlineare Optik und Quantenelektronik, Technische Universität Berlin, Hardenbergstr, 36 EW 7-1, 10623, Berlin, Germany
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Orieux A, Versteegh MAM, Jöns KD, Ducci S. Semiconductor devices for entangled photon pair generation: a review. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2017; 80:076001. [PMID: 28346219 DOI: 10.1088/1361-6633/aa6955] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
Entanglement is one of the most fascinating properties of quantum mechanical systems; when two particles are entangled the measurement of the properties of one of the two allows the properties of the other to be instantaneously known, whatever the distance separating them. In parallel with fundamental research on the foundations of quantum mechanics performed on complex experimental set-ups, we assist today with bourgeoning of quantum information technologies bound to exploit entanglement for a large variety of applications such as secure communications, metrology and computation. Among the different physical systems under investigation, those involving photonic components are likely to play a central role and in this context semiconductor materials exhibit a huge potential in terms of integration of several quantum components in miniature chips. In this article we review the recent progress in the development of semiconductor devices emitting entangled photons. We will present the physical processes allowing the generation of entanglement and the tools to characterize it; we will give an overview of major recent results of the last few years and highlight perspectives for future developments.
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Affiliation(s)
- Adeline Orieux
- Sorbonne Universités, UPMC Univ Paris 06, CNRS, Laboratoire d'Informatique de Paris 6 (LIP6), 4 Place Jussieu, 75005 Paris, France. IRIF UMR 8243, Université Paris Diderot, Sorbonne Paris Cité, CNRS, 75013 Paris, France
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Abstract
Feedback loops are known as a versatile tool for controlling transport in small systems, which usually have large intrinsic fluctuations. Here we investigate the control of a temporal correlation function, the waiting-time distribution, under active and passive feedback conditions. We develop a general formalism and then specify to the simple unidirectional transport model, where we compare costs of open-loop and feedback control and use methods from optimal control theory to optimize waiting-time distributions.
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Affiliation(s)
- Tobias Brandes
- Institut für Theoretische Physik, Hardenbergstr. 36, TU Berlin, D-10623 Berlin, Germany
| | - Clive Emary
- Joint Quantum Centre Durham-Newcastle, School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne NE1 7RU, United Kingdom
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Grimsmo AL. Time-Delayed Quantum Feedback Control. PHYSICAL REVIEW LETTERS 2015; 115:060402. [PMID: 26296104 DOI: 10.1103/physrevlett.115.060402] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/16/2015] [Indexed: 06/04/2023]
Abstract
A theory of time-delayed coherent quantum feedback is developed. More specifically, we consider a quantum system coupled to a bosonic reservoir creating a unidirectional feedback loop. It is shown that the dynamics can be mapped onto a fictitious series of cascaded quantum systems, where the system is driven by past versions of itself. The derivation of this model relies on a tensor network representation of the system-reservoir time propagator. For concreteness, this general theory is applied to a driven two-level atom scattering into a coherent feedback loop. We demonstrate how delay effects can qualitatively change the dynamics of the atom and how quantum control can be implemented in the presence of time delays.
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Affiliation(s)
- Arne L Grimsmo
- Département de Physique, Université de Sherbrooke, Sherbrooke, Québec J1K 2R1, Canada
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Brandes T. Feedback between interacting transport channels. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 91:052149. [PMID: 26066161 DOI: 10.1103/physreve.91.052149] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/12/2015] [Indexed: 06/04/2023]
Abstract
A model of particle transport through a large number of channels is introduced. Interactions among the particles can lead to a strong suppression of fluctuations in the particle number statistics. Within a mean-field-type limit, this becomes equivalent to a time-dependent (nonautonomous) collective feedback control mechanism. The dynamics can be interpreted as a diffusive spreading of a feedback signal across the channels that displays scaling, can be quantified via the flow of information, and becomes visible, e.g., in the spectral function of the particle noise.
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Affiliation(s)
- T Brandes
- Institut für Theoretische Physik, Hardenbergstr. 36, TU Berlin, D-10623 Berlin, Germany
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