Sub-Planck structures and sensitivity of the superposed photon-added or photon-subtracted squeezed-vacuum states
arXiv:2301.00195 · doi:10.1103/PhysRevA.107.052614
Abstract
The Wigner function of the compass state (a superposition of four coherent states) develops phase-space structures of dimension much less than the Planck scale, which are crucial in determining the sensitivity of these states to phase-space displacements. In the present work, we introduce compass-like states that may have connection to the contemporary experiments, which are obtained by either adding photons to or subtracting photons from the superposition of two squeezed-vacuum states. We show that, when a significant quantity of photons is added (or subtracted), the Wigner function of these states are shown to have phase-space structures of an area that is substantially smaller than the Planck scale. In addition, these states exhibit sensitivity to displacements that is much higher than the standard quantum limit. Finally, we show that both the size of the sub-Planck structures and the sensitivity of our states are strongly influenced by the average photon number, with the photon addition case having a higher average photon number leading to the smaller sub-Planck structures and, consequently, being more sensitive to displacement than the photon subtraction case. Our states offer unprecedented resolution to the external perturbations, making them suitable for quantum sensing applications.
arXiv commentPHYSICAL REVIEW A 107, 052614 (2023), 15 Figures, 20 pages
References in corpus (65)
- Decoherence, einselection, and the quantum origins of the classical
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum Coherence as a Resource
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Towards quantum superpositions of a mirror
- A gravitational wave observatory operating beyond the quantum shot-noise limit: Squeezed light in application
- Super-resolving phase measurements with a multi-photon entangled state
- Quantum computation with optical coherent states
- Dynamically protected cat-qubits: a new paradigm for universal quantum computation
- Generation of a superposition of odd photon number states for quantum information networks
- De Broglie Wavelength of a Nonlocal Four-Photon
- Macroscopically distinct quantum superposition states as a bosonic code for amplitude damping
- Schroedinger cat-like states by conditional measurements on a beam-splitter
- Quantum enhanced measurements without entanglement
- Non-gaussian statistics from individual pulses of squeezed light
- Sub-Planck spots of Schroedinger cats and quantum decoherence
- Increasing entanglement between Gaussian states by coherent photon subtraction
- Non-Gaussian entanglement distillation for continuous variables
- Controllable generation of highly nonclassical states from nearly pure squeezed vacua
- Non-Gaussian Quantum States and Where to Find Them
- A Scheme to Probe the Decoherence of a Macroscopic Object
- Review of Entangled Coherent States
- Proposed Test of Quantum Nonlocality for Continuous Variables
- Breeding the optical Schroedinger's cat state
- Nonclassicality and decoherence of photon-subtracted squeezed states
- Optimal quantum-enhanced interferometry using a laser power source
- Optical synthesis of large-amplitude squeezed coherent-state superpositions with minimal resources
- Sub-Planck phase-space structures and Heisenberg-limited measurements
- Generation of optical Schrödinger's cat states by generalized photon subtraction
- Deterministic protocol for mapping a qubit to coherent state superpositions in a cavity
- Statistics of photon-subtracted and photon-added states
- Decay of the Loschmidt Echo for quantum states with sub-Planck scale structures
- Wigner Function Evolution of Quantum States in Presence of Self-Kerr Interaction
- Loss-tolerant quantum enhanced metrology and state engineering via the reverse Hong-Ou-Mandel effect
- Quantum non-Gaussianity witnesses in the phase space
- Mesoscopic Superposition of States with Sub-Planck Structures in Phase Space
- Overview of the phase space formulation of quantum mechanics with application to quantum technologies
- Experimental Observation of Quantum Chaos in a Beam of Light
- Quantum metrology at the Heisenberg limit with ion traps
- Non-Gaussian quantum state generation by multi-photon subtraction at the telecommunication wavelength
- Short time decay of the Loschmidt echo
- Engineering Schrödinger cat states with a photonic even-parity detector
- Generation of a superposition of multiple mesoscopic states of radiation in a resonant cavity
- Sub-Planck scale structures in the P{ö}schl-Teller potential and their sensitivity to perturbations
- Mesoscopic superposition and sub-Planck-scale structure in molecular wave packets
- Time-frequency Domain Analogues of Phase Space Sub-Planck Structures
- Sub-Planck scale structures in a vibrating molecule in the presence of decoherence
- Quantum non-Gaussianity and quantification of nonclassicality
- Entanglement induced Sub-Planck structures
- Deterministic generation of a four-component optical cat state
- Nonclassicality of photon-added squeezed vacuum and its decoherence in thermal environment
- Quantum Hypercube States
- Sub-Planck phase-space structure and sensitivity for SU(1,1) compass states
- Quantum interferometry via a coherent state mixed with a photon-added squeezed vacuum state
- Sub-Planck structures: Analogies between the Heisenberg-Weyl and SU(2) groups
- Teleportation fidelity as a probe of sub-Planck phase-space structure
- Generation of Kerr non-Gaussian motional states of trapped ions
- Quantum tetrachotomous states: Superposition of four coherent states on a line in phase space
- Completeness of photon-added squeezed vacuum and one-photon-states and of photon-added coherent states on a circle
- Measuring sub-Planck structural analogues in chronocyclic phase space
- Coherent control of mesoscopic superpositions in a diatomic molecule
- Generalized photon-subtracted squeezed vacuum states
- Sub-Planck structure in a mixed state
- Cat state, sub-Planck structure and weak measurement
- Non-Gaussian features from Excited Squeezed Vacuum State
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- Compasslike states in a thermal reservoir and fragility of their nonclassical features
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- Optimal sensing of photon addition and subtraction on nonclassical light
- Sub-shot-noise sensitivity via superpositions of two deformed kitten states