Fig. 2 | npj Quantum Information

Fig. 2

From: An autonomous quantum machine to measure the thermodynamic arrow of time

Fig. 2

Jarzynski’s equality for the qubit. Parameters: T = 80 K, ħω0 = 1.2kBT, Ω/2π = 100 kHz, γ/Ω = 5. a Deviation from JE as a function of \(\left( {\frac{{g_{\mathrm{m}}}}{{\mathrm{\Omega }}}} \right){\mathrm{/}}\left| {\beta _0} \right|\) (|β0| = 5000). The points were computed by increasing the opto-mechanical coupling strength gm/2π from 1 to 20 MHz, keeping the other parameters constant. b Deviation from JE as a function of |β0| with gm/Ω = 10. Red squares: Case of a classical external drive imposing the qubit frequency modulation ω(β0(t)) (see text). Blue dots: Eq. (21). Green diamonds: \({\mathrm{exp}}\left( { - \left\langle {\sigma \left[ {{\vec{\mathrm \Sigma }}} \right]} \right\rangle _{{\vec{\mathrm \Sigma }}}} \right) - 1\). These green points demonstrate that JE is not trivially reached because the considered transformations are reversible. The error bars represent the standard error of the mean

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