Probing massless and massive gravitons via entanglement in a warped extra dimension

Abstract

Gravity's quantum nature can be probed in a laboratory by witnessing the entanglement between the two quantum systems, which cannot be possible if gravity is a classical entity. In this paper, we will provide a simple example where we can probe the effects of higher dimensions, in particular, the warped extra dimension of five-dimensional Anti-de Sitter spacetime ($\mathrm{Ad}{\mathrm{S}}_5$). We assume that the two quantum harmonic oscillators are kept at a distance $d$ on a 3-brane (our 4D world) embedded in $\mathrm{Ad}{\mathrm{S}}_5$, while gravity can propagate in all five dimensions. We will compute the effective potential due to the massless and massive gravitons propagating in the warped geometry. We will compute the entanglement between position and momentum states for both static and non-static cases. The entanglement enhances compared to the four-dimensional massless graviton, and it depends now on the $\mathrm{Ad}{\mathrm{S}}_5$ radius. We will also show that if we would prepare non-Gaussian superposition states, e.g. spatial superposition of masses of order $10^{-14}-10^{-15}$kg with a superposition size of $\mathcal{O}(20)$ micron, we can yield larger concurrence of order $\mathcal{O}(0.1)$.

arXiv commentAccepted for publication by Physical Review D ; Matches the journal version

References in corpus (65)

• A Large Mass Hierarchy from a Small Extra Dimension
• Entanglement of Formation of an Arbitrary State of Two Qubits
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• Mixed State Entanglement and Quantum Error Correction
• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• Entanglement of a Pair of Quantum Bits
• Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities
• General relativity as an effective field theory: The leading quantum corrections
• Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
• Beyond the Cosmological Standard Model
• Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
• Theoretical Aspects of Massive Gravity
• A Spin Entanglement Witness for Quantum Gravity
• Quantum Gravity and Extra Dimensions at High-Energy Colliders
• Large and infinite extra dimensions
• Dynamics of Anti-de Sitter Domain Walls
• Dark matter and cosmic structure
• Linearized Gravity in Brane Backgrounds
• The Gauge Hierarchy Problem and Higher Dimensional Gauge Theories
• Quantum Superposition of Massive Objects and Collapse Models
• Probing Large Extra Dimensions with Neutrinos
• Bounce cosmology from $F(R)$ gravity and $F(R)$ bigravity
• New Test of the Gravitational $1/r^2$ Law at Separations down to 52 $\mu$m
• The Shape of Gravity
• Macroscopicity of Mechanical Quantum Superposition States
• Tabletop experiments for quantum gravity: a user's manual
• Locality & Entanglement in Table-Top Testing of the Quantum Nature of Linearized Gravity
• Matter Wave Interferometry of a Levitated Thermal Nano-Oscillator Induced and Probed by a Spin
• Momentum-space entanglement and renormalization in quantum field theory
• Complementarity of the Maldacena and Randall-Sundrum Pictures
• Supersymmetry in Singular Spaces
• Gravitationally Mediated Entanglement: Newtonian Field vs. Gravitons
• Limits on the number of spacetime dimensions from GW170817
• Supersymmetrizing Branes with Bulk in Five-Dimensional Supergravity
• Free Nano-Object Ramsey Interferometry for Large Quantum Superpositions
• Quantum Gravity Witness via Entanglement of Masses: Casimir Screening
• Realization of a complete Stern-Gerlach interferometer: Towards a test of quantum gravity
• Bouncing Cosmology made simple
• Large Extra Dimensions and Cosmological Problems
• KK Parity in Warped Extra Dimension
• Cooling the Motion of Diamond Nanocrystals in a Magneto-Gravitational Trap in High Vacuum
• Motional Dynamical Decoupling for Matter-Wave Interferometry
• Warped Reheating in Multi-Throat Brane Inflation
• Origin of neutrino masses at the LHC: Delta L = 2 effective operators and their ultraviolet completions
• Extra Dimensions and Inflation
• Decoherence effects in non-classicality tests of gravity
• Relative Acceleration Noise Mitigation for Nanocrystal Matter-wave Interferometry: Application to Entangling Masses via Quantum Gravity
• Constructing Nano-Object Quantum Superpositions with a Stern-Gerlach Interferometer
• Higher order corrections to the Newtonian potential in the Randall-Sundrum model
• Improving resilience of the Quantum Gravity Induced Entanglement of Masses (QGEM) to decoherence using 3 superpositions
• Generating a Fermion Mass Hierarchy in a Composite Supersymmetric Standard Model
• Signatures of the quantum nature of gravity in the differential motion of two masses
• Catapulting towards massive and large spatial quantum superposition
• When can gravity path-entangle two spatially superposed masses?
• Entanglement Witness for the Weak Equivalence Principle
• Entanglement based tomography to probe new macroscopic forces
• Bouncing cosmology from warped extra dimensional scenario
• Experimental Probes of the Randall-Sundrum Infinite Extra Dimension
• Probing the Geometry of Warped String Compactifications at the LHC
• Quantum Gravitational Sensor for Space Debris
• Spin dynamical decoupling for generating macroscopic superpositions of a free-falling nanodiamond
• Dark matter origins of neutrino masses
• Phenomenology of Infrared Smooth Warped Extra Dimensions
• Signals of Warped Extra Dimensions at the LHC

Cited by in corpus (17)

• Relaxation of experimental parameters in a Quantum-Gravity Induced Entanglement of Masses Protocol using electromagnetic screening
• Decoherence of a matter-wave interferometer due to dipole-dipole interactions
• Distinguishing Jordan and Einstein frames in gravity through entanglement
• Micron-size spatial superpositions for the QGEM-protocol via screening and trapping
• Dephasing due to electromagnetic interactions in spatial qubits
• Loss of coherence and coherence protection from a graviton bath
• Entanglement Entropy in Scalar Quantum Electrodynamics
• Decoherence rate expression due to air molecule scattering in spatial qubits
• Inertial Torsion Noise in Matter-Wave Interferometers for Gravity Experiments
• Phonon-induced contrast in a matter-wave interferometer
• Relativistic Dips in Entangling Power of Gravity
• Relativistic Effects on Entangled Single-Electron Traps
• Magnetic noise in macroscopic quantum spatial superposition
• Gravity induced entanglement of multiple massive particles with large spin
• Entanglement witnesses mediated via axionLike particles
• Quantum Gravity Induced Entanglement of Masses With Extra Dimensions
• Testing the Braneworld Theory with Identical Particles