Rectification of light in the quantum regime

Dai, Jibo; Roulet, Alexandre; Le, Huy Nguyen; Scarani, Valerio

doi:10.1103/physreva.92.063848

Cited by 26 publications

(60 citation statements)

References 35 publications

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“…to obtain a system of differential equations for the amplitudes that we solve for the three functions p g (t), p e (t), and c(t) in (7) and hence for the DM (8). For an infinite waveguide, this can be accomplished analytically in both the one-and two-excitation sectors as shown in appendix B.…”

Section: Explicit Computation Of Dmmentioning

confidence: 99%

“…Out of the many proposed [38], we select the geometric measure (GM) [61] for its ease of computation and because it facilitates a comparison with the spontaneous emission dynamics in the semi-infinite waveguide where the GM was already used [26]. The GM is 7 See supplemental material for a Mathematica notebook with further technical detail about solving the time-dependent wavefunctions in both the one-and two-excitation sectors. 8 Any infinitesimal quantum map t d ( ) that is completely positive can always be expressed as t t d d    = + ( )˜with  being a superoperator in Lindblad form with positive rates [34].…”

Section: Non-markovianitymentioning

confidence: 99%

“…B.3. Functions p g (t), p e (t) and c(t) The three functions (7), which fully specify the scattering DM (8), are found from equations (4), (5), (B1), (B6) to be p t e t g 2 = ( ) | ( )| , From equations (B13a) and (B13b), the quantity Δ(t) in the infinite-waveguide case is easily obtained as given in equation (33).…”

Section: B1 One-excitation Sectormentioning

confidence: 99%

“…Novel correlations among injected near-resonant photons result from the nonlinearity of the qubits, and intriguing interference effects occur because of the 1D confinement of the light. The field has focused on qubits in a local region for which these correlation and interference effects can be used for local quantum information purposes such as single-photon routing [6], rectification of photonic signals [7][8][9][10], and quantum gates [11][12][13]. This regime of waveguide QED involves neglecting delay times: the time taken by photons to travel between qubits is far shorter than all other characteristic times.…”

Section: Introductionmentioning

confidence: 99%

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Non-Markovian dynamics of a qubit due to single-photon scattering in a waveguide

2018

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We investigate the open dynamics of a qubit due to scattering of a single photon in an infinite or semi-infinite waveguide. Through an exact solution of the time-dependent multi-photon scattering problem, we find the qubitʼs dynamical map. Tools of open quantum systems theory allow us then to show the general features of this map, find the corresponding non-Linbladian master equation, and assess in a rigorous way its non-Markovian nature. The qubit dynamics has distinctive features that, in particular, do not occur in emission processes. Two fundamental sources of non-Markovianity are present: the finite width of the photon wavepacket and the time delay for propagation between the qubit and the end of the semi-infinite waveguide.Clarifying the importance of NM effects and the mechanisms behind their onset is thus pivotal in waveguide QED. At the same time, the theory of OQS [34,35] is currently making major advances, yielding a more accurate understanding of NM effects [36][37][38][39]. Through an approach often inspired by quantum information concepts [40], a number of physical properties such as information back-flow [41] and divisibility [42] have been spotlighted as distinctive manifestations of quantum NM behavior and then used to formulate corresponding quantum non-Markovianity measures. These tools have been effectively applied to dynamics in various scenarios [37,38], including in waveguide QED with regard to emission processes [26, 32] 5 such as a single atom emitting into a semi-infinite waveguide [26].Motivated by the need to quantify NM effects in photon scattering from qubits, we present a case study of a qubit undergoing single-photon scattering in an infinite or semi-infinite waveguide (see figure 1), the latter of which is the basis of the proposed controlled-Z [12] and controlled-NOT [13] gates. We aim at answering two main questions: What are the essential features of the qubit open dynamics during scattering? Is such dynamics NM?The key task is to find the dynamical map (DM) of the qubit in the scattering process, which fully describes the open dynamics and is needed in order to apply OQS tools [38]. A distinctive feature of our open dynamics is that the bath (the waveguide field) is initially in a well-defined single-photon state [43,44]. Toward this task, we tackle in full the time evolution of multiple excitations (in contrast to those limited to the one-excitation sector [43,[45][46][47][48]), a problem that has become important recently [30,31,33,[49][50][51][52][53][54][55][56][57].Intuitively, one may expect that the dynamics is fully Markovian in the infinite-waveguide case and NM in the semi-infinite case due to the atom-mirror delay time. We show that this expectation is inaccurate in general, mostly because it does not account for a fundamental source of NM behavior namely the wavepacket bandwidth. This NM mechanism is present in an infinite waveguide, while in a semi-infinite waveguide it augments the natural NM behavior coming from the photon delay time.Recently, NM effects in infi...

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Section: Explicit Computation Of Dmmentioning

confidence: 99%

Section: Non-markovianitymentioning

confidence: 99%

Section: B1 One-excitation Sectormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Non-Markovian dynamics of a qubit due to single-photon scattering in a waveguide

2018

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“…Alternatively, strong coupling of quantum systems to 1D electromagnetic environments, such as optical waveguides, provides a new avenue to study light-matter interactions. Theoretical studies have shed light on the scattering of single-photon pulses [10], waveguidemediated entanglement [11], ultra-strong coupling [12], and spatial light rectification [13][14][15][16]. However, little theoretical research has been done on the optomechanical effects of mobile emitters in a 1D photonic system, even while much experimental progress has been made towards strong coupling of optically trapped emitters [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Generating nonclassical states of motion using spontaneous emission

Baragiola¹,

Twamley²

2018

New J. Phys.

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Nonclassical motional states of matter are of interest both from a fundamental perspective but also for their potential technological applications as resources in various quantum processing tasks such as quantum teleportation, sensing, communication, and computation. In this work we explore the motional effects of a harmonically trapped, excited two-level emitter coupled to a one-dimensional (1D) photonic system. As the emitter decays it experiences a momentum recoil that entangles its motion with the emitted photon pulse. In the long-time limit the emitter relaxes to its electronic ground state, while its reduced motional state remains entangled with the outgoing photon. We find photonic systems where the long-time reduced motional state of the emitter, though mixed, is highly nonclassical and in some cases approaches a pure motional Fock state. Motional recoil engineering can be simpler to experimentally implement than complex measurement and feedback based methods to engineer novel quantum mechanical states of motion.

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Up‐And‐Coming Advances in Optical and Microwave Nonreciprocity: From Classical to Quantum Realm

Kutsaev

Krasnok

Romanenko

et al. 2021

Advanced Photonics Research

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Reciprocity is a fundamental physical principle that roots in the time‐reversal symmetry of physical laws. It allows making predictions on any arbitrary complex system's response and operation and hence simplifies the analysis. However, there are many practical situations in which it is advantageous to break reciprocity, e.g., isolators preventing wave scattering back to lasers and generators, full‐duplex systems for multiplexing transmission and receiving in the same channel, nonreciprocal cavity excitation, and protection of fragile states of superconductor quantum computers from thermal noise. The most widespread approach to time‐reversal symmetry breaking and nonreciprocity based on magnetic field biasing suffers from bulkiness, cost ineffectiveness, and loss, motivating researchers and engineers to search for more practical approaches. Herein, the up‐and‐coming advances in optical nonreciprocity, including new materials (Weyl semimetals, topological insulators, metasurfaces), active structures, time‐modulation, parity‐time (PT)‐symmetry breaking, nonlinearity combined with a structural asymmetry, quantum nonlinearity, unidirectional gain and loss, chiral quantum states and valley polarization are overviewed. A general description of nonreciprocal systems is provided and the pros and cons of the mentioned approaches to nonreciprocity are discussed.

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Rectification of light in the quantum regime

Cited by 26 publications

References 35 publications

Non-Markovian dynamics of a qubit due to single-photon scattering in a waveguide

Non-Markovian dynamics of a qubit due to single-photon scattering in a waveguide

Generating nonclassical states of motion using spontaneous emission

Up‐And‐Coming Advances in Optical and Microwave Nonreciprocity: From Classical to Quantum Realm

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