Casimir forces on atoms in optical cavities

Alhambra, Álvaro M.; Kempf, Achim; Martín-Martínez, Eduardo

doi:10.1103/physreva.89.033835

Cited by 88 publications

(125 citation statements)

References 39 publications

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“…Note that the spinors carry no spin index. The Dirac inner product (3.4) is modified to 4) in which the mode solutions (4.2) are normalised to…”

Section: Massive Dirac Field On the Cylindrical Spacetimementioning

confidence: 99%

“…Despite its mathematical simplicity, this modelling captures the core features of the dipole interaction by which atomic orbitals couple to the electromagnetic field [3,4]. In the special case of a uniformly linearly accelerated observer coupled to a field in its Minkowski vacuum, detector analyses have provided significant evidence that the Unruh effect [1], the thermal response of the observer, occurs whenever the interaction time is long, the interaction switch-on and switch-off are sufficiently slow and the back-reaction of the observer on the quantum field remains small [1,2,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19].…”

Section: Introductionmentioning

confidence: 99%

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Unruh-DeWitt detector’s response to fermions in flat spacetimes

Louko

Toussaint

2016

Phys. Rev. D

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We examine an Unruh-DeWitt particle detector that is coupled linearly to the scalar density of a massless Dirac field in Minkowski spacetimes of dimension d ≥ 2 and on the static Minkowski cylinder in spacetime dimension two, allowing the detector's motion to remain arbitrary and working to leading order in perturbation theory. In d-dimensional Minkowski, with the field in the usual Fock vacuum, we show that the detector's response is identical to that of a detector coupled linearly to a massless scalar field in 2d-dimensional Minkowski. In the special case of uniform linear acceleration, the detector's response hence exhibits the Unruh effect with a Planckian factor in both even and odd dimensions, in contrast to the Rindler power spectrum of the Dirac field, which has a Planckian factor for odd d but a Fermi-Dirac factor for even d. On the two-dimensional cylinder, we set the oscillator modes in the usual Fock vacuum but allow an arbitrary state for the zero mode of the periodic spinor. We show that the detector's response distinguishes the periodic and antiperiodic spin structures, and the zero mode of the periodic spinor contributes to the response by a state-dependent but well defined amount. Explicit analytic and numerical results on the cylinder are obtained for inertial and uniformly accelerated trajectories, recovering the d = 2 Minkowski results in the limit of large circumference. The detector's response has no infrared ambiguity for d = 2, neither in Minkowski nor on the cylinder.

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“…Note that the spinors carry no spin index. The Dirac inner product (3.4) is modified to 4) in which the mode solutions (4.2) are normalised to…”

Section: Massive Dirac Field On the Cylindrical Spacetimementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Unruh-DeWitt detector’s response to fermions in flat spacetimes

Louko

Toussaint

2016

Phys. Rev. D

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“…As the Unruh-DeWitt detector captures the essential features of the interaction between atoms and the electromagnetic field [18,19], the conclusion should further extend to systems of matter of which we and our experimental apparatus are built.…”

mentioning

confidence: 99%

“…From the quantum field theory side, this question is motivated by the fact that any measurements of quantum fields are done through material particle detectors, and we may employ the Unruh-DeWitt detector model [16,17] to capture the essential aspects of interactions between atoms and the electromagnetic field [18,19]. From the firewall side, focusing on the correlations between two detectors is motivated by the central role of quantum correlations in the firewall argument [3].…”

mentioning

confidence: 99%

(1+1)DCalculation Provides Evidence that Quantum Entanglement Survives a Firewall

Martín-Martínez

Louko

2015

Phys. Rev. Lett.

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We analyze how pre-existing entanglement between two Unruh-DeWitt particle detectors evolves when one of the detectors falls through a Rindler firewall in (1+1)-dimensional Minkowski space. The firewall effect is minor and does not wash out the detector-detector entanglement, in some regimes even preserving the entanglement better than Minkowski vacuum. The absence of cataclysmic events should continue to hold for young black hole firewalls. A firewall's prospective ability to resolve the information paradox must hence hinge on its detailed gravitational structure, presently poorly understood.Introduction.-If black hole evaporation preserves unitarity, it has been argued from preservation of correlations that the horizon of a shrinking black hole must develop a singularity even when the evaporation is still slow and the black hole remains macroscopic [1-3] (for a selection of debate and reviews see [4][5][6][7][8][9][10][11]). Modeling the gravitational aspects of this proposed singularity has remained elusive. For instance, the emergence of a Planck scale shell near the horizon of an astrophysical black hole seems to be in tension with the gravitational dynamics predicted by general relativity [12]. Nevertheless, the nongravitational aspects of the "firewall" version of the singularity [3] can be modeled with a quantum field in Minkowski spacetime: a state in which correlations across a Rindler horizon are severed can be written down by hand [13], mimicking the severing that the firewall argument of [3] posits to develop dynamically during black hole evaporation. This severing of correlations has strong similarities to that which ensues on the sudden insertion of a reflective wall in a spacetime [14,15]. The Rindler firewall state can be studied by usual quantum field theory techniques, and the conclusions should apply to young gravitational firewalls where the backreaction on the metric is still small.

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“…Such a diamagnetic term contribution can be significant in the strong coupling regimes, even leading to change in the radiation pressure force from attractive to repulsive as has been studied in [36].…”

Section: Discussionmentioning

confidence: 95%

Mirror-field entanglement in a microscopic model for quantum optomechanics

Sinha

Lin²,

2015

Phys. Rev. A

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We use a microscopic model, the Mirror-Oscillator-Field (MOF) model proposed in [1], to describe the quantum entanglement between a mirror's center of mass (CoM) motion and a field. In contrast with the conventional approach where the mirror-field entanglement is understood as arising from the radiation pressure of an optical field inducing the motion of the mirror's CoM, the MOF model incorporates the dynamics of the internal degrees of freedom of the mirror that couple to the optical field directly. The major advantage in this approach is that it provides a self-consistent treatment of the three pertinent subsystems (the mirror's CoM motion, its internal degrees of freedom and the field) including their back-actions on each other, thereby giving a more accurate account of the quantum correlations between the individual subsystems. The optical and the mechanical properties of a mirror arising from its dynamical interaction with a quantum field are obtained without imposing any boundary conditions on the field additionally, as is done in the conventional way. As one of the new physical features that arise from this self-consistent treatment of the coupled optics and mechanics behavior we observe a coherent transfer of quantum correlations from the field to the mirror via its internal degrees of freedom. We find the quantum entanglement between the optical field and the mirror's center of mass motion upon coarse-graining over the internal degree of freedom. Further, we show that in certain parameter regimes the mirror-field entanglement is enhanced when the field interacts resonantly with the mirror's internal degree of freedom, a new result which highlights the importance of including the internal structure of the mirror in quantum optomechanical considerations.

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Casimir forces on atoms in optical cavities

Cited by 88 publications

References 39 publications

Unruh-DeWitt detector’s response to fermions in flat spacetimes

Unruh-DeWitt detector’s response to fermions in flat spacetimes

(1+1)DCalculation Provides Evidence that Quantum Entanglement Survives a Firewall

Mirror-field entanglement in a microscopic model for quantum optomechanics

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