Wave Particle Duality in Asymmetric Beam Interference

Abstract

It is well known that in a two-slit interference experiment, acquiring which-path information about the particle, leads to a degrading of the interference. It is argued that path-information has a meaning only when one can umabiguously tell which slit the particle went through. Using this idea, two duality relations are derived for the general case where the two paths may not be equally probable, and the two slits may be of unequal widths. These duality relations, which are inequalities in general, saturate for all pure states. Earlier known results are recovered in suitable limit.

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References in corpus (3)

• Duality of Quantum Coherence and Path Distinguishability
• Wave-Particle Duality in N-Path Interference
• Complementarity via error-free measurement in a two-path interferometer

Cited by in corpus (9)

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• Robustness of interferometric complementarity under Decoherence
• Quantum Coherence and Distinguishability as Complementary Resources: A Resource-Theoretic Perspective from Wave-Particle Duality
• Delayed-choice quantum erasers and the Einstein-Podolsky-Rosen paradox
• Momentum Kicks in Imperfect Which-Way Measurement
• Entanglement constraint on wave-particle duality for tripartite systems