Unruh quantization in the presence of a condensate

Abstract

We have shown that the Unruh quantization scheme can be realized in Minkowski spacetime in the presence of BoseEinstein condensate containing infinite average number of particles in the zero boost mode and located basically inside the light cone. Unlike the case of an empty Minkowski spacetime the condensate provides the boundary conditions necessary for the Fulling quantization of the part of the field restricted only to the Rindler wedge of Minkowski spacetime. 03.70.+k, 04.70.DyThe Unruh effect [1,2] consists of the statement that any detector uniformly accelerated in the empty Minkowski space (MS) reveals a universal response as if it were emersed into a thermal bath with the temperature T DU = g/2π, where g is the proper acceleration of the detector 1 . The universality of the detector response is based on interpretation of the Minkowski vacuum state in terms of Fulling-Unruh particles states which appear in the Unruh quantization scheme [2] alternative to the standard plane wave quantization (see also Ref.[3] and citations therein). However, we have shown in our earlier paper [4], see also Refs. [5,6], that the Unruh construction [2] was not a valid quantization scheme in the empty MS. This conclusion stems from the fact that the Unruh scheme neglects the contribution of the singular zero boost mode to the total field amplitude.The purpose of this paper is to present a situation for which the Unruh quantization procedure could be realized. We argue that this is the case for MS which is not empty but filled with a background of special type. We hope that our consideration will clarify the drawbacks of the Unruh approach to the problem in empty MS. For the sake of simplicity we will restrict our consideration to two-dimensional case.Let us consider a coherent state for a massive neutral *

On the existence of black hole evaporation yet again

“…This means that we consider the state with κ = 0 to be filled by the large number of particles which make up a classical condensate and on its background the quantum fluctuations of the "zero mode" are ignorable. Such model is an analogue of the one proposed in [6] in relation to the quantization of the massive scalar field over the left and right Unruh modes in Minkowski spacetime. Needless to say in this case the initial state of the incident field is also not the Minkowski vacuum.…”

Scalar and fermion representations of the Lorentz group in Minkowski plane, QFT correlators, pair creation in electric field and the Unruh effect

“…Most of the results reviewed here were obtained [9][10][11][12][13][14][15][16]29 in collaboration with our colleagues Vladimir Belinski, Vadim Mur, Evgeny Gelfer and Boris Karnakov. This work was supported by the Russian Foundation for Basic Research (grant 16-02-00963) and the Russian Federation President program for support of the leading research schools.…”

“…what would be a correct physical interpretation for them). One possible example arises when zero mode Bose-Einstein condensate flows along the horizons 29 . In this case the zero mode contribution can be neglected against the condensate background, and hence the Unruh construction becomes valid.…”