2017
DOI: 10.1103/physreva.96.012126
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Quantum to classical transition induced by gravitational time dilation

Abstract: We study the loss of quantumness caused by time dilation [1] for a Schr\"odinger cat state. We give a holistic view of the quantum to classical transition by comparing the dynamics of several nonclassicality indicators, such as the Wigner function interference fringe, the negativity of the Wigner function, the nonclassical depth, the Vogel criterion and the Klyshko criterion. Our results show that only two of these indicators depend critically on the size of the cat, namely on how macroscopic the superposition… Show more

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Cited by 8 publications
(6 citation statements)
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“…We focus on dephasing, or pure decoherence, which is an ubiquitous mechanism leading to a loss of quantum properties and degrading the performance of quantum computers [15]. Indeed, dephasing appears naturally in multiple physical systems and processes including qubit coupled to harmonic oscillators in thermal equilibrium [1], central spin coupled to Ising chain in transverse field [16], excitons in quantum dots [17,18], superconducting qubits influenced by fluctuating magnetic dipoles [19], and particles in a spatial superposition in gravitational field [20,21] -to name few examples.…”
Section: Introductionmentioning
confidence: 99%
“…We focus on dephasing, or pure decoherence, which is an ubiquitous mechanism leading to a loss of quantum properties and degrading the performance of quantum computers [15]. Indeed, dephasing appears naturally in multiple physical systems and processes including qubit coupled to harmonic oscillators in thermal equilibrium [1], central spin coupled to Ising chain in transverse field [16], excitons in quantum dots [17,18], superconducting qubits influenced by fluctuating magnetic dipoles [19], and particles in a spatial superposition in gravitational field [20,21] -to name few examples.…”
Section: Introductionmentioning
confidence: 99%
“…Within our weak gravitation approximation, the electromagnetic wave (14), (19) will not lose transversality: (21) as expected for the approximation of geometrical optics.…”
Section: B the Perturbed Maxwell Equationsmentioning
confidence: 67%
“…To describe the spontaneous emission process, let us quantize the field in a standard way: by replacing complex modal amplitudes in Eqs. (14) and (19) by bosonic creation and annihilation operators. Then, following Ref.…”
Section: The Field Hamiltonianmentioning
confidence: 99%
“…Decoherence is a ubiquitous phenomenon in quantum systems and it has been understood to play a fundamental role (a) E-mail: irismarpaz@ufpi.edu.br (corresponding author) in conceptual foundations of quantum-to-classical transitions as first studied by Zeh [3] 50 years ago. Building upon the ideas put forth by Zeh, the concept was subsequently expanded and implemented by Zurek [4][5][6][7][8][9][10], with applications extended to various systems [11,12]. In the double-slit experiment, if the environment interacts with the particle in a way that causes decoherence, the interference pattern disappears and the particle behaves classically [13].…”
mentioning
confidence: 99%