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Large Spin Stern-Gerlach Interferometry for Gravitational Entanglement
Published 8 Dec 2023 in quant-ph and gr-qc | (2312.05170v1)
Abstract: Recently, there has been a proposal to test the quantum nature of gravity in the laboratory by witnessing the growth of entanglement between two masses in spatial quantum superpositions. The required superpositions can be created via Stern-Gerlach interferometers, which couple an embedded spin qubit quantum state to the spatial dynamics of each mass. The masses would entangle only if gravity is quantum in nature. Here, we generalise the experiment to an arbitrary spin $j$ or equivalently to an ensemble of uniformly coupled spins. We first exemplify how to create a generalized Stern-Gerlach interferometer, which splits the mass into $2j+1$ trajectories. This shows that a controlled protocol can be formulated to encode the amplitudes of any spin state to a spatial superposition. Secondly, two masses in spatial superpositions of the above form are left to interact via gravity, and the entanglement is computed. Different families of initial spin states are varied to find the optimal spin state that maximizes the entanglement. We conclude that larger spins can offer a modest advantage in enhancing gravity-induced entanglement.
- F. Dyson, Is a graviton detectable?, International Journal of Modern Physics A 28 (2013), 10.1142/S0217751X1330041X.
- T. Rothman and S. Boughn, Can Gravitons be Detected?, Foundations of Physics 36 (2006), 10.1007/s10701-006-9081-9.
- C. Marletto and V. Vedral, Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity, Phys. Rev. Lett. 119 (2017), 10.1103/PhysRevLett.119.240402.
- R. J. Marshman, A. Mazumdar, and S. Bose, Locality & Entanglement in Table-Top Testing of the Quantum Nature of Linearized Gravity, Phys. Rev. A 101 (2020), 10.1103/PhysRevA.101.052110.
- B. Hensen et al., Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres, Nature 526 (2015), 10.1038/nature15759.
- A. Belenchia et al., Quantum Superposition of Massive Objects and the Quantization of Gravity, Phys. Rev. D 98 (2018), 10.1103/PhysRevD.98.126009.
- D. L. Danielson, G. Satishchandran, and R. M. Wald, Gravitationally mediated entanglement: Newtonian field versus gravitons, Phys. Rev. D 105 (2022), 10.1103/PhysRevD.105.086001.
- T. D. Galley, F. Giacomini, and J. H. Selby, A no-go theorem on the nature of the gravitational field beyond quantum theory, Quantum 6 (2022), q-2022-08-17-779.
- L.-Q. Chen, F. Giacomini, and C. Rovelli, Quantum States of Fields for Quantum Split Sources, Quantum 7 (2023), q-2023-03-20-958.
- U. K. B. Vinckers, A. de la Cruz-Dombriz, and A. Mazumdar, Quantum entanglement of masses with nonlocal gravitational interaction, Phys. Rev. D 107 (2023), 10.1103/PhysRevD.107.124036.
- S. Chakraborty, A. Mazumdar, and R. Pradhan, Distinguishing Jordan and Einstein frames in gravity through entanglement (2023), arXiv:2310.06899 [gr-qc] .
- S. G. Elahi and A. Mazumdar, Probing massless and massive gravitons via entanglement in a warped extra dimension, Phys. Rev. D 108 (2023), 10.1103/PhysRevD.108.035018.
- A. Al, W. Cong, and R. B. Mann, Optomechanical quantum cavendish experiment, Phys. Rev. A 98 (2018), 10.1103/PhysRevA.98.043811.
- A. Matsumura and K. Yamamoto, Gravity-induced entanglement in optomechanical systems, Phys. Rev. D 101 (2020), 10.1103/PhysRevD.102.106021.
- S. A. Haine, Searching for signatures of quantum gravity in quantum gases, New Journal of Physics 23 (2021), 10.1088/1367-2630/abd97d.
- C. L. Degen, F. Reinhard, and P. Cappellaro, Quantum sensing, Reviews of Modern Physics 89 (2017), 10.1103/RevModPhys.89.035002.
- Y. Maleki, M. O. Scully, and A. M. Zheltikov, Quantum metrology with superposition spin coherent states: Insights from Fisher information, Phys. Rev. A 104 (2021), 10.1103/PhysRevA.104.053712.
- A. T. M. A. Rahman, Large spatial Schrodinger cat using a levitated ferrimagnetic nanoparticle, New Journal of Physics 21 (2019), 10.1103/PhysRevA.104.053712.
- R. H. Dicke, Coherence in Spontaneous Radiation Processes, Phys. Rev. Journals Archive 93 (1954), 10.1103/PhysRev.93.99.
- J. Schliemann, Coherent Quantum Dynamics: What Fluctuations Can Tell, Phys. Rev. A 92 (2015), 10.1103/PhysRevA.92.022108.
- Y. Japha and R. Folman, Quantum Uncertainty Limit for Stern-Gerlach Interferometry with Massive Objects, Phys. Rev. Lett. 130 (2023), 10.1103/PhysRevLett.130.113602.
- Y. Ma, M. S. Kim, and B. A. Stickler, Torque-free manipulation of nanoparticle rotations via embedded spins, Phys. Rev. B 104 (2021), 10.1103/PhysRevB.104.134310.
- J. S. Pedernales, G. W. Morley, and M. B. Plenio, Motional Dynamical Decoupling for Interferometry with Macroscopic Particles, Phys. Rev. Lett. 125 (2020), 10.1103/PhysRevLett.125.023602.
- B.-G. Englert, J. Schwinger, and M. O. Scully, Is spin coherence like Humpty-Dumpty? I. Simplified treatment, Foundations of Physics 18 (1988), 10.1007/BF01909939.
- O. Amit et al., T3superscript𝑇3{T}^{3}italic_T start_POSTSUPERSCRIPT 3 end_POSTSUPERSCRIPT stern-gerlach matter-wave interferometer, Phys. Rev. Lett. 123 (2019), 10.1103/PhysRevLett.123.083601.
- Y. Margalit et al., Realization of a complete Stern-Gerlach interferometer: Towards a test of quantum gravity, Science 7 (2021), 10.1126/sciadv.abg2879.
- S. Machluf, Y. Japha, and R. Folman, Coherent stern–gerlach momentum splitting on an atom chip, Nature communications 4 (2013), 10.1126/sciadv.abg2879.
- J. M. Radcliffe, Some properties of coherent spin states, Journal of Physics A: General Physics 4 (1971), 10.1088/0305-4470/4/3/009.
- M. Kitagawa and M. Ueda, Squeezed spin states, Phys. Rev. A 47 (1993), 10.1103/PhysRevA.47.5138.
- H. B. G. Casimir and D. Polder, The Influence of retardation on the London-van der Waals forces, Phys. Rev. 73 (1948), 10.1103/PhysRev.73.360.
- H. B. G. Casimir, On the Attraction Between Two Perfectly Conducting Plates, Indag. Math. 10 (1948).
- H. C. Nguyen and F. Bernards, Entanglement dynamics of two mesoscopic objects with gravitational interaction, The European Physical Journal D 74 (2020), 10.1140/epjd/e2020-10077-8.
- P. M. B., Logarithmic negativity: A full entanglement monotone that is not convex, Phys. Rev. Lett. 95 (2005), 10.1103/PhysRevLett.95.090503.
- M. Toroš, A. Mazumdar, and S. Bose, Loss of coherence of matter-wave interferometer from fluctuating graviton bath (2020), 10.48550/arXiv.2008.08609.
- O. Romero-Isart, Quantum superposition of massive objects and collapse models, Phys. Rev. A 84 (2011), 10.1103/physreva.84.052121.
- C. Henkel and R. Folman, Internal decoherence in nano-object interferometry due to phonons, AVS Quantum Science 4 (2022), 10.1116/5.0080503.
- C. Henkel and R. Folman, Universal limit on spatial quantum superpositions with massive objects due to phonons (2023), 2305.15230.
- M. Schlosshauer, The quantum-to-classical transition and decoherence (Springer International Publishing, 2007) 10.1007/978-3-540-35775-9.
- M. Schlosshauer, Quantum Decoherence, Phys. Rept. 831 (2019), 10.1016/j.physrep.2019.10.001.
- J. Heremans, C. H. Olk, and D. T. Morelli, Magnetic susceptibility of carbon structures, Phys. Rev. B 49 (1994), 10.1103/PhysRevB.49.15122.
- J. J. Sakurai, Modern Quantum Mechanics (Addison-Wesley, Reading, MA, 1994).
- S. Bose, K. Jacobs, and P. L. Knight, Preparation of nonclassical states in cavities with a moving mirror, Phys. Rev. A 56 (1997), 10.1103/PhysRevA.56.4175.
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