<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>-photon wave packets interacting with an arbitrary quantum system

Baragiola, Ben Q.; Cook, Robert L.; Brańczyk, Agata M.; Combes, Joshua

doi:10.1103/physreva.86.013811

Cited by 144 publications

(211 citation statements)

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“…One of them is a single photon state [12][13][14]. About the methods of its generation and application in quantum of computing and communication one can read in [15][16][17][18][19][20][21][22]. The filtering equation for quantum system interacting with the environment prepared in the single photon state was derived in [23][24][25][26].…”

Section: Pacs Numbersmentioning

confidence: 99%

Quantum trajectories for a system interacting with environment in a single-photon state: Counting and diffusive processes

2017

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We derived quantum trajectories for a system interacting with the environment prepared in a continuous mode single photon state as the limit of discrete filtering model with an environment defined as series of independent qubits prepared initially in the entangled state being an analogue of a continuous mode state. The environment qubits interact with the quantum system and they are subsequently measured. The initial correlation between the bath qubits is the source of the non-Markovianity. The conditional evolutions of the quantum system for limit of the continuous in time observations together with the formulas for the photon counting probabilities are given.

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Section: Pacs Numbersmentioning

confidence: 99%

Quantum trajectories for a system interacting with environment in a single-photon state: Counting and diffusive processes

2017

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“…In the second approach, we adopt the Fock state master equation formalism, in which the control photon envelope appears explicitly [25,32]. In either of the approaches, the transmon dynamics are not adiabatically eliminated, but included explicitly (within the rotating wave approximation).…”

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confidence: 99%

Quantum Nondemolition Detection of a Propagating Microwave Photon

et al. 2014

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The ability to nondestructively detect the presence of a single, traveling photon has been a long-standing goal in optics, with applications in quantum information and measurement. Realizing such a detector is complicated by the fact that photon-photon interactions are typically very weak. At microwave frequencies, very strong effective photon-photon interactions in a waveguide have recently been demonstrated. Here we show how this type of interaction can be used to realize a quantum nondemolition measurement of a single propagating microwave photon. The scheme we propose uses a chain of solid-state three-level systems (transmons) cascaded through circulators which suppress photon backscattering. Our theoretical analysis shows that microwave-photon detection with fidelity around 90% can be realized with existing technologies. DOI: 10.1103/PhysRevLett.112.093601 PACS numbers: 42.50.Dv, 42.50.Lc, 42.65.-k, 85.60.Gz Quantum mechanics tells us that a measurement perturbs the state of a quantum system. In the most extreme case, this leads to the destruction of the measured quantum system. By coupling the system to a quantum probe, a quantum nondemolition [1] (QND) measurement can be realized, where the system is not destroyed by the measurement. Such a property is crucial for quantum error correction [2], state preparation by measurement [3,4], and one-way quantum computing [5]. For microwave frequencies, detection of confined photons in high-Q cavities has been proposed and experimentally demonstrated by several groups [6][7][8][9]. They all exploit the strong interaction between photons and atoms (real and artificial) on the single photon level. Detection schemes for traveling photons have also been suggested [10][11][12], but in those proposals the photon is absorbed by the detector and the measurement is therefore destructive. Proposals for detecting itinerant photons using coupled cavities have also been suggested, but they are limited by the trade-off between interaction strength and signal loss due to reflection [13]. Other schemes based on the interaction of Λ-type atomic level structures have been suggested, but the absence of such atomic level structures in solid-state systems make them unsuited to the microwave regime [14][15][16].Here, we present a scheme to detect a propagating microwave photon in an open waveguide. At its heart is the strong effective nonlinear interaction between microwave fields induced by an artificial atom to which they are coupled. A single photon in the control field induces a detectable displacement in the state of a probe field, which is initially in a coherent state. The control field is not absorbed, making the protocol QND. The protocol may be operated either synchronously (in which the control photons arrive within specified temporal windows) or asynchronously [17]. Figure 1 illustrates the scheme. The effective nonlinear interaction between the control photon and the probe field is realized by N noninteracting artificial atoms (transmon devices [18]) coupled to the tran...

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“…This section is organized as follows: first, in 2.7.1, the definition of continuous mode Fock states is presented. Then, in 2.7.2, we introduce the unconditional Fock state master equation based on citations [77][78][79]. The emphasis in this part is on describing the definitions used in the master equation and explaining how this method works rather than going through its derivation.…”

Section: Fock State Master Equation Approachmentioning

confidence: 99%

“…This definition can be expanded to define a continuous mode, normalized Fock state having N photons in the wave packet ξ(t) [77] …”

Section: Continuous Mode Fock Statesmentioning

confidence: 99%

“…For a two mode input field the master equation (2.79) can be extended to the form given below [77] 85) in which the first two subscripts m, n in the generalized density matrix ρ m,n;p,q refer to the first input mode and the second subscripts p, q refer to the second input mode. The repeated subscript i is summed over the input modes 1 and 2.…”

Section: Unconditional Fock State Master Equationmentioning

confidence: 99%

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Quantum measurement and control in single-photon opto-mechanics

Basiri-Esfahani¹

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Quantum opto-mechanics is a fast moving, broad research field which aims to investigate and control the interaction of light and the quantized motion of mechanical objects and the coupling between them. This allows one to engineer the mechanical quantum state by controlling and measuring the electromagnetic field, and conversely, to control the dynamical evolution of the optical field via its interaction with a mechanical system. Mechanical resonators are accessible in many different shapes and sizes, from kilogram scales in experiments that test gravitational theories to micro-and nano-scales in resolved sideband regime, where the frequency of the mechanical resonator is larger than the bandwidth of the optical cavity. In this regime, it is possible to cool the mechanical object to the ground state which allows a high degree of control and the ability to prepare interesting non-classical states, states that could aid in investigating the quantum dynamics of macroscopic objects. The field of quantum opto-mechanics is a promising testbed for quantum control technologies, such as fundamental tests of quantum mechanics, ultra-sensitive quantum sensors for precise measurements, phonon lasing, mechanical memories with long lifetime and quantum information processing. Furthermore, experiments are progressing toward strong opto-mechanical coupling regimes with single photons. This creates a platform that can take advantage of the nonlinear optical interactions to generate highly non-classical states in such light-matter interfaces. Photonic systems working in the single photon regime will be promising for low power applications and also for implementations of quantum information and computation.Motivated by these applications, this thesis consists of theoretical studies in the context of single photonics. This includes investigating non-classical mechanical state generation and mechanically controlling the dynamical evolution of optical fields in the strong coupling regime single photon opto-mechanics and furthermore, proposing a quantum sensor using single photonics. In this regard, we employ three important formalisms to treat and measure open quantum systems with non-Gaussian input fields: the conditional and unconditional cascaded master equations, Fock-state master equations and input-output Langevin equations. In the context of opto-mechanics, the system to be investigated is composed of two optical cavities with a coupling modulated via a mechanical resonator.In one case, a sequence of single photons are irreversibly sent to one of the optical cavities. After photons go through the opto-mechanical interaction, photon counting measurements are performed on the cavity output, conditionally steering the mechanical state to a highly nonclassical Fock state. Numerical calculations are performed to predict the experimental parameters needed to generate a mechanical Fock state before the mechanical object is thermalized.In another case, the same opto-mechanical scheme is employed to conversely modify the state ...

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N-photon wave packets interacting with an arbitrary quantum system

Cited by 144 publications

References 87 publications

Quantum trajectories for a system interacting with environment in a single-photon state: Counting and diffusive processes

Quantum trajectories for a system interacting with environment in a single-photon state: Counting and diffusive processes

Quantum Nondemolition Detection of a Propagating Microwave Photon

Quantum measurement and control in single-photon opto-mechanics

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