Quantum theory of statistical radiation pressure in free space

Light is known to exert radiation pressure on any surface it is incident upon, via the transfer of momentum from the light to the surface. In general, this force is assumed to be pushing or repulsive in nature. In this paper, we present a quantum treatment of radiation pressure. We show that the int...

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Main Authors: Navdeep Arya, Navketan Batra, Kinjalk Lochan, Sandeep K. Goyal
Format: Article
Language:English
Published: Elsevier 2022-11-01
Series:Physics Letters B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269322005780
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author Navdeep Arya
Navketan Batra
Kinjalk Lochan
Sandeep K. Goyal
author_facet Navdeep Arya
Navketan Batra
Kinjalk Lochan
Sandeep K. Goyal
author_sort Navdeep Arya
collection DOAJ
description Light is known to exert radiation pressure on any surface it is incident upon, via the transfer of momentum from the light to the surface. In general, this force is assumed to be pushing or repulsive in nature. In this paper, we present a quantum treatment of radiation pressure. We show that the interaction of an atom with light can lead to both repulsive and attractive forces due to absorption and emission of photons, respectively. An atom prepared in the excited state initially will experience a pulling force when interacting with light. On the other hand, if the atom is prepared in the ground state then the force will be repulsive, while having the same magnitude as in the earlier case. Therefore, for an ensemble of atoms, the direction of the net force will be decided by the excited and ground state populations. In the semi-classical treatment of light-matter interaction the absorption and emission processes have the same probability, therefore the magnitudes of the force in the two processes turn out to be the same. We obtain the effective emission profile for an excited atom interacting with quantum electromagnetic field, and show that in the quantum treatment, despite these probabilities being different, the magnitudes of the statistical force remain the same. This can be explained by noting that the extra contribution in the emission process is due to the interaction of the atom with the vacuum modes of electromagnetic field, results in symmetric emission profile, contributing to a net zero force on the atoms in an ensemble. We further identify the set of states of electromagnetic field which give rise to non-zero momentum transfer to the atom.
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spelling doaj.art-7e1ebccbba8d42139049d72c8ca4203a2022-12-22T02:32:47ZengElsevierPhysics Letters B0370-26932022-11-01834137444Quantum theory of statistical radiation pressure in free spaceNavdeep Arya0Navketan Batra1Kinjalk Lochan2Sandeep K. Goyal3Department of Physical Sciences, Indian Institute of Science Education and Research (IISER) Mohali, Sector 81 SAS Nagar, Manauli PO 140306, Punjab, India; Corresponding author.Brown Theoretical Physics Center and Department of Physics, Brown University, Providence, RI 02912, USADepartment of Physical Sciences, Indian Institute of Science Education and Research (IISER) Mohali, Sector 81 SAS Nagar, Manauli PO 140306, Punjab, IndiaDepartment of Physical Sciences, Indian Institute of Science Education and Research (IISER) Mohali, Sector 81 SAS Nagar, Manauli PO 140306, Punjab, IndiaLight is known to exert radiation pressure on any surface it is incident upon, via the transfer of momentum from the light to the surface. In general, this force is assumed to be pushing or repulsive in nature. In this paper, we present a quantum treatment of radiation pressure. We show that the interaction of an atom with light can lead to both repulsive and attractive forces due to absorption and emission of photons, respectively. An atom prepared in the excited state initially will experience a pulling force when interacting with light. On the other hand, if the atom is prepared in the ground state then the force will be repulsive, while having the same magnitude as in the earlier case. Therefore, for an ensemble of atoms, the direction of the net force will be decided by the excited and ground state populations. In the semi-classical treatment of light-matter interaction the absorption and emission processes have the same probability, therefore the magnitudes of the force in the two processes turn out to be the same. We obtain the effective emission profile for an excited atom interacting with quantum electromagnetic field, and show that in the quantum treatment, despite these probabilities being different, the magnitudes of the statistical force remain the same. This can be explained by noting that the extra contribution in the emission process is due to the interaction of the atom with the vacuum modes of electromagnetic field, results in symmetric emission profile, contributing to a net zero force on the atoms in an ensemble. We further identify the set of states of electromagnetic field which give rise to non-zero momentum transfer to the atom.http://www.sciencedirect.com/science/article/pii/S0370269322005780Pulsed lightEmission profileRadiation pressure
spellingShingle Navdeep Arya
Navketan Batra
Kinjalk Lochan
Sandeep K. Goyal
Quantum theory of statistical radiation pressure in free space
Physics Letters B
Pulsed light
Emission profile
Radiation pressure
title Quantum theory of statistical radiation pressure in free space
title_full Quantum theory of statistical radiation pressure in free space
title_fullStr Quantum theory of statistical radiation pressure in free space
title_full_unstemmed Quantum theory of statistical radiation pressure in free space
title_short Quantum theory of statistical radiation pressure in free space
title_sort quantum theory of statistical radiation pressure in free space
topic Pulsed light
Emission profile
Radiation pressure
url http://www.sciencedirect.com/science/article/pii/S0370269322005780
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AT navketanbatra quantumtheoryofstatisticalradiationpressureinfreespace
AT kinjalklochan quantumtheoryofstatisticalradiationpressureinfreespace
AT sandeepkgoyal quantumtheoryofstatisticalradiationpressureinfreespace