In polymer quantization, a uniformly accelerated Unruh-DeWitt detector sees a non-thermal vacuum response that can be mimicked by the Fock-space two-point function with a finite regulator ε≈2.16 instead of the usual ε→0 limit.
The Unruh effect interpreted as a quantum noise channel
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abstract
We make use of the tools of quantum information theory to shed light on the Unruh effect. A modal qubit appears as if subjected to quantum noise that degrades quantum information, as observed in the accelerated reference frame. The Unruh effect experienced by a mode of a free Dirac field, as seen by a relativistically accelerated observer, is treated as a noise channel, which we term the Unruh channel. We characterize this channel by providing its operator-sum representation, and study various facets of quantum correlations, such as, Bell inequality violations, entanglement, teleportation and measurement-induced decoherence under the effect. We compare and contrast this channel from conventional noise due to environmental decoherence. We show that the Unruh effect produces an amplitude-damping-like channel, associated with zero temperature, even though the Unruh effect is associated with a non-zero temperature. Asymptotically, the Bloch sphere subjected to the channel does not converge to a point, as would be expected by fluctuation-dissipation arguments, but contracts by a finite factor. We construct for the Unruh effect the inverse channel, a non-completely-positive map, that formally reverses the effect, and offer some physical interpretation.
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Response of a uniformly accelerated Unruh-DeWitt detector in polymer quantization
In polymer quantization, a uniformly accelerated Unruh-DeWitt detector sees a non-thermal vacuum response that can be mimicked by the Fock-space two-point function with a finite regulator ε≈2.16 instead of the usual ε→0 limit.