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000916123 1001_ $$0P:(DE-Juel1)185963$$aBruschi, David Edward$$b0$$eCorresponding author
000916123 245__ $$aGravitational Redshift Induces Quantum Interference
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000916123 520__ $$aQuantum field theory in curved spacetime is used to show that gravitational redshift induces a unitary transformation on the quantum state of propagating photons. It is found that the transformation is a mode-mixing operation, and a protocol that exploits gravity to induce a Hong–Ou–Mandel-like interference effect on the state of two photons is devised. It is discussed how the results of this work can provide a demonstration of quantum field theory in curved spacetime.
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000916123 7001_ $$00000-0003-0849-9558$$aSchell, Andreas Wolfgang$$b1
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000916123 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1016/j.newast.2014.01.012
000916123 999C5 $$2Crossref$$uAn introduction to quantum field theory in curved spacetime is left to standard references.[23] The metric has signature(− + + +)$(- + + +)$. We use Einstein's summation convention and natural unitsc=ℏ=GN=1$c=\hbar =G_\text{N}=1$unless explicitly stated. We work in the Heisenberg picture.
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000916123 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1051/0004-6361:20065615
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000916123 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1038/nature08776
000916123 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.12942/lrr-2014-4
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000916123 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1140/epjqt/s40507-017-0061-0
000916123 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1017/CBO9780511976667
000916123 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/1361-6382/aa864f
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000916123 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1088/1361-6382/aaf9ca
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000916123 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1038/s42005-021-00671-8
000916123 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevD.105.084016
000916123 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1142/S0217732300002358
000916123 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.7208/chicago/9780226870373.001.0001
000916123 999C5 $$2Crossref$$uNote that if Equation (4) were replaced byâω′=Û†(χ)âωÛ(χ)=χâχ2ω$\hat{a}_{\omega ^{\prime }}=\hat{U}^\dag (\chi )\ \hat{a}_{\omega }\ \hat{U}(\chi )=\chi \hat{a}_{\chi ^2\omega }$ the commutation relations would be persevered.
000916123 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1017/CBO9780511813993
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000916123 999C5 $$2Crossref$$9-- missing cx lookup --$$a10.1103/PhysRevD.105.105016
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