Introduction to Quantum Optics

Paul, H.

doi:10.1017/cbo9780511616754

Cited by 39 publications

(22 citation statements)

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“…Our implementation relies on a photonic walker implemented by an attenuated coherent laser pulse with its polarisation representing the internal (coin) degree of freedom. In this way, our system makes use of the equivalence of coherent light and a single quantum particle when propagating in a linear optical network [70]. Figure 3 shows the physical implementation of the quantum walk setup: Our time-multiplexing architecture relies on translating the external (position) degree of freedom of the walker into the time domain by splitting the pulses up spatially, routing them through fibres of different length and subsequently merging the two paths again.…”

Section: Experimental Implementation 31 Time-multiplexing Setupmentioning

confidence: 99%

Eigenvalue measurement of topologically protected edge states in split-step quantum walks

et al. 2019

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We study topological phenomena of quantum walks by implementing a novel protocol that extends the range of accessible properties to the eigenvalues of the walk operator. To this end, we experimentally realise for the first time a split-step quantum walk with decoupling, which allows for investigating the effect of a bulk-boundary while realising only a single bulk configuration. The experimental platform is implemented with the well-established time-multiplexing architecture based on fibre-loops and coherent input states. The symmetry protected edge states are approximated with high similarities and we read-out the phase relative to a reference for all modes. In this way we observe eigenvalues which are distinguished by the presence or absence of sign flips between steps. Furthermore, the results show that investigating a bulk-boundary with a single bulk is experimentally feasible when decoupling the walk beforehand.

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Section: Experimental Implementation 31 Time-multiplexing Setupmentioning

confidence: 99%

Eigenvalue measurement of topologically protected edge states in split-step quantum walks

et al. 2019

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“…The absolute phase constants are physical in the sense that physical situations exist where they can be determined. For example, when two independent weak quasimonochromatic laser beams (photon wave functions) are superposed [18], [19]. In the superpositions the absolute phases become relative phases and determine the positions of the interference fringes.…”

Section: The Absolute Phase Constantsmentioning

confidence: 99%

A conjecture concerning determinism, reduction, and measurement in quantum mechanics

Jabs

2016

Quantum Stud.: Math. Found.

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Abstract. Determinism is established in quantum mechanics by tracing the probabilities in the Born rules back to the absolute (overall) phase constants of the wave functions and recognizing these phase constants as pseudorandom numbers. The reduction process (collapse) is independent of measurement. It occurs when two wavepackets overlap in ordinary space and satisfy a certain criterion, which depends on the phase constants of both wavepackets. Reduction means contraction of the wavepackets to the place of overlap. The measurement apparatus fans out the incoming wavepacket into spatially separated eigenpackets of the chosen observable. When one of these eigenpackets together with a wavepacket located in the apparatus satisfy the criterion, the reduction associates the place of contraction with an eigenvalue of the observable. The theory is nonlocal and contextual.

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“…Note that for Lindblad-type master equations (28), the previous definition extends to the Lindblad operators L i ∈ B(H), see Eq. (29), which also commute with the unitary operator U . We stress that this is the case termed strong symmetry in the language of Refs.…”

Section: Symmetry and Degenerate Steady Statesmentioning

confidence: 99%

Harnessing symmetry to control quantum transport

Manzano

Hurtado

2018

Advances in Physics

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Controlling transport in quantum systems holds the key to many promising quantum technologies. Here we review the power of symmetry as a resource to manipulate quantum transport, and apply these ideas to engineer novel quantum devices. Using tools from open quantum systems and large deviation theory, we show that symmetry-mediated control of transport is enabled by a pair of twin dynamic phase transitions in current statistics, accompanied by a coexistence of different transport channels. By playing with the symmetry decomposition of the initial state, one can modulate the importance of the different transport channels and hence control the flowing current. Motivated by the problem of energy harvesting we illustrate these ideas in open quantum networks, an analysis which leads to the design of a symmetry-controlled quantum thermal switch. We review an experimental setup recently proposed for symmetry-mediated quantum control in the lab based on a linear array of atom-doped optical cavities, and the possibility of using transport as a probe to uncover hidden symmetries, as recently demonstrated in molecular junctions, is also discussed. Other symmetry-mediated control mechanisms are also described. Overall, these results demonstrate the importance of symmetry not only as a organizing principle in physics but also as a tool to control quantum systems. PACS: 5.60.Gg, 03.65.Yz, 44.10.+i.

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Introduction to Quantum Optics

Cited by 39 publications

References 0 publications

Eigenvalue measurement of topologically protected edge states in split-step quantum walks

Eigenvalue measurement of topologically protected edge states in split-step quantum walks

A conjecture concerning determinism, reduction, and measurement in quantum mechanics

Harnessing symmetry to control quantum transport

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