GOPAL, Ashwin ; University of Luxembourg > Faculty of Science, Technology and Medicine > Department of Physics and Materials Science > Team Massimiliano ESPOSITO
ESPOSITO, Massimiliano ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Freitas, Nahuel
External co-authors :
yes
Language :
English
Title :
Thermodynamic cost of precise timekeeping in an electronic underdamped clock
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Consider a sequence of voltages (Equation presented) where (Equation presented) is the voltages before the (Equation presented) tick. In such a situation, the three consecutive increments are given as (Equation presented), (Equation presented), and (Equation presented), where we have used the alternating nature of the coarse-grained states (Equation presented) and set (Equation presented) for simplicity. Since one of the voltage repeats for any two consecutive increments, there will be a non-zero covariance between these terms. These covariances are given as (Equation presented) and (Equation presented), where the sign will depend on the coarse-grained state (Equation presented). Taking the sum of all such covariances, the total variance of the counter given (Equation presented) ticks is given as (Equation presented).
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