Local quantum thermometry using Unruh-DeWitt detectors
Date
2018-01-25
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Pontificia Universidad Católica del Perú
Abstract
En este trabajo, proponemos una definición operacional de la temperatura local de un
campo cuántico usando detectores Unruh-DeWitt, de forma similar a la empleada en
los efectos Unruh y Hawking. Con esta definición, un sistema cuántico inhomogéneo
en equilibrio puede tener diferentes temperaturas locales, en analogía con el teorema de
Tolman-Ehrenfest en relatividad general. Hemos estudiado la distribución de la temperatura
local en el estado fundamental de un sistema fermiónico con términos de hopping en un
espacio curvo. La temperatura observada tiende a cero conforme el acoplo termómetrosistema,
g, disminuye. Además, para valores pequeños pero finitos de g, mostramos que el
producto de la temperatura local observada y el logaritmo de la velocidad local de la luz es
aproximadamente constante. Nuestras predicciones son susceptibles de comprobación en
sistemas de átomos ultrafríos.
We propose an operational definition for the local temperature of a quantum field employing Unruh-DeWitt detectors, as used in the study of the Unruh and Hawking effects. With this definition, an inhomogeneous quantum system in equilibrium can have different local temperatures, in analogy with the Tolman-Ehrenfest theorem from general relativity. We have studied the local temperature distribution on the ground state of hopping fermionic systems on a curved background. The observed temperature tends to zero as the thermometer-system coupling, g, vanishes. Yet, for small but finite values of g, we show that the product of the observed local temperature and the logarithm of the local speed of light is approximately constant. Our predictions should be testable on ultracold atomic systems.
We propose an operational definition for the local temperature of a quantum field employing Unruh-DeWitt detectors, as used in the study of the Unruh and Hawking effects. With this definition, an inhomogeneous quantum system in equilibrium can have different local temperatures, in analogy with the Tolman-Ehrenfest theorem from general relativity. We have studied the local temperature distribution on the ground state of hopping fermionic systems on a curved background. The observed temperature tends to zero as the thermometer-system coupling, g, vanishes. Yet, for small but finite values of g, we show that the product of the observed local temperature and the logarithm of the local speed of light is approximately constant. Our predictions should be testable on ultracold atomic systems.
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Keywords
Teoría del campo cuántico--Temperatura, Temperatura--Detectores, Dinámica cuántica, Termodinámica
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