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Heisenberg-limited Measurements and Sub-Planck Structures in Phase Space

Luiz ��, Davidovich

量子光学学报Jan 1, 20060 citations

Sub-Planck structure in a mixed state

Asmita Kumari, A. K. Pan, Prasanta K. Panigrahi

arXiv:1806.01184The European Physical Journal DNov 1, 20158 citations

Sub-Planck phase-space structures and Heisenberg-limited measurements (7 pages)

Diego A. R. Dalvit, Fabricio Toscano

Physical Review AJan 1, 20060 citations

Sub-Planck structure in phase space and its relevance for quantum decoherence

Wojciech Hubert Zurek

arXiv:quant-ph/0201118NatureAug 1, 2001379 citations

Realization of sub-Planck Structure from Compass States in Time-Frequency Domain

Ludmiła Praxmeyer, Chih‐Cheng Chen, Popo Yang +2 more

A sub-Planck structure from Compass states, composited by four coherent states in superposition, is reported experimentally through the correspondence between Wigner distribution function and frequency-resolved optical gating (FROG) measurement. Demonstration on the chessboard-like patterns with a time-bandwidth product smaller than that of a transform-limited pulse is realized through simultaneously sufficient time and frequency separations among optical pulses. The sub-Planck structure in the interference pattern from Compass states not only manifests itself as a generalized Schödinger's cat state, but also provides the platform to exploit quantum metrology and quantum information processing through ultrafast optics.A sub-Planck structure from Compass states, composited by four coherent states in superposition, is reported experimentally through the correspondence between Wigner distribution function and frequency-resolved optical gating (FROG) measurement. Demonstration on the chessboard-like patterns with a time-bandwidth product smaller than that of a transform-limited pulse is realized through simultaneously sufficient time and frequency separations among optical pulses. The sub-Planck structure in the interference pattern from Compass states not only manifests itself as a generalized Schödinger's cat state, but also provides the platform to exploit quantum metrology and quantum information processing through ultrafast optics.

Frontiers in OpticsJan 1, 20152 citations

Mesoscopic superposition of states with sub-Planck structures in phase space

G. S. Agarwal, Pradyumna K. Pathak

We propose the cavity quantum electrodynamics method, using dispersive interaction between atoms and a high-quality cavity to realize the mesoscopic superposition of coherent states that would exhibit sub-Planck structures in phase space, i.e., the structures at a scale smaller than the Plank's constant $(\ensuremath{\hbar})$. These structures are direct signatures of quantum coherence and are formed as a result of interference between the two superposed cat states. In particular we focus on a superposition involving four coherent states. We show interferences in the conditional measurements involving two atoms.We propose the cavity quantum electrodynamics method, using dispersive interaction between atoms and a high-quality cavity to realize the mesoscopic superposition of coherent states that would exhibit sub-Planck structures in phase space, i.e., the structures at a scale smaller than the Plank's constant $(\ensuremath{\hbar})$. These structures are direct signatures of quantum coherence and are formed as a result of interference between the two superposed cat states. In particular we focus on a superposition involving four coherent states. We show interferences in the conditional measurements involving two atoms.

arXiv:quant-ph/0312092Physical Review ANov 11, 200457 citations

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