Experimental probe of weak-value amplification and geometric phase through the complex zeros of the response function

Pal, Mandira; Saha, S.; Athira, B S; Gupta, Subhasish Dutta; Ghosh, Nirmalya

doi:10.1103/physreva.99.032123

Cited by 13 publications

(22 citation statements)

References 57 publications

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“…Now, coming back to the context of optical beam shift, consider the polarization of the incident beam (input polarization) is [E x , E y ] T (written in x − y basis). The reflected electric field, ⃗ E ref comprises of an inhomogeneous polarization distribution in its transverse plane [11,42] as given below.…”

Section: Manifestations Of Non-separability Of the Longitudinal And T...mentioning

confidence: 99%

“…This implies that after reflection, the longitudinal position x, transverse position y, and polarization DoF of the paraxial Gaussian beam becomes non-separable (Figure 1 1 inset c), that is, projected onto any arbitrary polarization state, the final state becomes |𝜓 f (x, y)⟩ ≈ G(x, y)F(x, y). Here, F(x, y) acts as a spatial response function [6,11] and takes the form, say,…”

Section: Manifestations Of Non-separability Of the Longitudinal And T...mentioning

confidence: 99%

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Longitudinal and Transverse Optical Beam Shifts Show Non‐separability

Modak

Ashutosh

Guchhait

et al. 2023

Laser & Photonics Reviews

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Under the introduction of any tilted interface in its trajectory, an optical beam experiences polarization‐dependent deflections in the longitudinal and transverse directions with respect to the plane of incidence. The physics of such optical beam shifts are connected to profound universal wave phenomena governed by the fine interference effects of wave packets and have opened up avenues toward metrological applications. Here, the inherent non‐separability of the longitudinal and transverse optical beam shifts is revealed by considering a rather simple case of a partially reflecting Gaussian laser beam from a dielectric interface. This non‐separability appears substantially at some particular regions in the corresponding experimental parameter space. This manifests as a position–position non‐separable state of classical light field. The tunability of the related experimental parameters offers control over the degree of non‐separability. These findings are expected to be a step forward in the exploration of optical beam shifts and a number of analogous universal phenomena. The initial observation also indicates its practical impact on metrology and generation of high‐quality tunable position–position non‐separable states of classical light fields.

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Section: Manifestations Of Non-separability Of the Longitudinal And T...mentioning

confidence: 99%

Section: Manifestations Of Non-separability Of the Longitudinal And T...mentioning

confidence: 99%

Longitudinal and Transverse Optical Beam Shifts Show Non‐separability

Modak

Ashutosh

Guchhait

et al. 2023

Laser & Photonics Reviews

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“…Of late, quantum network is being widely explored through various types of network configurations and a flurry of works has been reported. [ 10–35 ] An interesting form of quantum nonlocality in networks particularly features the without inputs network scenario which generates genuine quantum nonlocality. [ 22 ] The quantum violation of network nonlocality inequalities is often assessed relative to a limit derived from assuming only the no‐signaling condition and independence of the sources.…”

Section: Introductionmentioning

confidence: 99%

Optimal Quantum Violations of n‐Locality Inequalities with Conditional Dependence on Inputs

Munshi

Pan

2023

Annalen der Physik

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Bell experiment in a network gives rise to a form of quantum nonlocality which is conceptually different from traditional multipartite Bell nonlocality. In this work, the star‐network configuration involving arbitrary n independent sources and false(n+1false)$(n+1)$ parties, including n edge parties and one central party is considered. Each of the n edge parties shares a physical system with the central party. Each edge party receives 2m−1$2^{m-1}$ number of inputs, and the central party receives an arbitrary m number of inputs. The conditional dependence on the inputs of each edge party is imposed so that the local probabilities satisfy a set of constraints. A family of generalized n‐locality inequalities is proposed in the arbitrary input scenario by imposing the set of constraints on inputs. The optimal quantum violation of the inequalities is derived by using an elegant sum‐of‐squares approach without specifying the dimension of the quantum system. Notably, the optimal quantum value is achieved only when the set of linear constraints on inputs is satisfied, which, in turn, self‐tests the observables required for each edge party. It shows that while conditional dependence on inputs significantly reduces the n‐local bound of the inequalities, the optimal quantum violation remains invariant. It argues that this implies a more robust test of network non‐locality, which can be revealed for smaller visibility parameters of the corresponding state. Further, the network nonlocality is characterized and examine its correspondence with suitably derived standard Bell nonlocality.

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“…The optical analog of WVA has been widely and extensively used to amplify small signals in the context of classical and quantum optics [29,30,31,32,33,34,35,36,37,38,39,40,41,18,19,20,21,22]. In classical optics, WVA has successfully been utilized to detect optical spin-Hall effect [29], sub-wavelength ordered optical beam shifts [29,45,31], small time delays [33], tiny beam deflection and rotation [31,30], frequency and phase shifts [32], and so on [34,35,36,37].…”

Section: Introductionmentioning

confidence: 99%

Interferometric weak value of polarization observable and differential Jones matrix algebra

Modak,

Das,

Bordoloi

et al. 2021

Preprint

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The quantification of simultaneously present weak polarization anisotropy effects are of practical interest from polarimetric and metrological perspective. Recently, in Phys. Rev. A 103, 053518, we experimentally demonstrated a classical analog of post-selected quantum weak measurement through optical interferometry to amplify all possible weak polarization anisotropy effects individually. Here, we propose an extension of this interferometric framework to quantify simultaneously present polarization anisotropy effects. Moreover, a clear correspondence of differential Jones matrix approach with the present scheme is indicated. The proposed scheme enables the measurement of differential Jones matrices through characteristic Stokes vector elements. Our proposal leads to a new class of polarimeter for experimental detection of differential Jones matrix of non-depolarizing anisotropic medium exhibiting simultaneous multiple polarimetric effects of tiny magnitude.

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Experimental probe of weak-value amplification and geometric phase through the complex zeros of the response function

Cited by 13 publications

References 57 publications

Longitudinal and Transverse Optical Beam Shifts Show Non‐separability

Longitudinal and Transverse Optical Beam Shifts Show Non‐separability

Optimal Quantum Violations of n‐Locality Inequalities with Conditional Dependence on Inputs

Interferometric weak value of polarization observable and differential Jones matrix algebra

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