Emergence of the Born rule in strongly driven dissipative systems

Photon‐Assisted Landau Zener Transitions in a Tunable Driven Rabi Dimer Coupled to a Micromechanical Resonator

“…It is noteworthy that the sudden flipping of the left qubit between its up and down states with $$F_{\textrm {L}} = 20\nobreakspace \omega _{0}$$ is also known as the adiabatic rapid passage (ARP), [ 67 ] which is typically adopted to achieve efficient population transfer in driven quantum systems. [ 68 ] As its name suggests, a successful ARP only occurs when three conditions are met. First, the process has to be adiabatic, that is, field‐induced sweep on the detuning is sufficiently slow compared to the period of resonant Rabi oscillation.…”

“…The first condition for ARP requires that $$|\upsilon |/\Delta \ll \Delta$$. [ 67,68 ] Here the sweep rate υ is estimated using the time derivative of the driving field $$\upsilon = -\Omega _i F_{i}\sin (\Omega _{i}t+\Phi _{i})/2$$ at avoided crossings and $$\Delta =2g\sqrt {n+1}$$ is approximately the energy gap between the adiabatic states. [ 69–71 ] For the hybrid qubit‐photon subsystem in the left resonator with $$F_{\textrm {L}} = 20\nobreakspace \omega _{0}$$ (see Figure 2b,d,f), this condition is satisfied at all avoided crossings with $$|\upsilon |= \frac{\sqrt {3}}{4} \omega _{0}^2$$ and $$\Delta ^2 = 0.36 (n+1) \omega _{0}^2$$, as states $$|\downarrow , n\rangle$$ with $$n \ge 1$$ will be populated initially.…”

“…The first condition for ARP requires that |𝜐|∕Δ ≪ Δ. [67,68] Here the sweep rate 𝜐 is estimated using the time derivative of the driving field 𝜐 = −Ω i F i sin(Ω i t + Φ i )∕2 at avoided crossings and Δ = 2g…”

Optimal population transfer using the adiabatic rapid passage in the presence of drive-induced dissipation

“…In the regulator, τ c is the timescale of the decay of autocorrelations of the fluctuations. In recent times, we have explored the effect of the DID in quantum computation [35], in quantum foundations [36],…”

Emergence of prethermal states in a driven dissipative system through cross-correlated dissipation

“…-One of the major motivations of our alternate formulation of the quantum master equation was to include the higher-order effects of external drives in the dynamics. Such higher-order effects influence the dynamics through well-studied shift terms (such as light shifts and Bloch-Siegert shifts), and relatively less explored drive-induced dissipation terms [18][19][20][21]. Since the complete derivation and the essential features of FRQME have been presented elsewhere [17], here we present a brief review of its framework.…”