Abstract:We study the population dynamics and quantum transport efficiency of a multi-site dissipative system driven by a random telegraph noise (RTN) by using a variational polaron master equation for both linear chain and ring configurations. By using two different environment descriptions-RTN only and a thermal bath+RTN-we show that the presence of the classical noise has a non-trivial role on quantum transport. We observe that there exist large areas of parameter space where the combined bath+RTN influence is clear… Show more
“…The present study also builds on the work by Kurt et al [46] that examined the effect of Holstein phonons and the work of Mozafari et al [47] that examined the effect of Peierls phonons on energy transfer through small networks. Our intermediate results for phononfree networks or networks with fixed site positions are consistent with previous observations [44].…”
Section: Introductionmentioning
confidence: 77%
“…As discussed in the introduction, many theoretical studies based on quantum master equation approaches found that Holstein couplings can accelerate the excitation energy transport compared with the purely coherent cases [23,46,57]. These studies always consider a fixed system Hamiltonian coupled with a Holstein bath.…”
Section: B Network Coupled To Holstein Phononsmentioning
confidence: 99%
“…This work builds on a series of papers that examined the role of the spatial arrangement of FMO sites on exciton transport through photosynthetic aggregates [44][45][46][47]. The work of Scholak et al [44] has also examined in detail the effect of the non-Hermitian sink on the excitation transfer dynamics.…”
Particle or energy transfer through quantum networks is determined by network topology and couplings to environments. This study examines the combined effect of topology and external couplings on the efficiency of directional quantum transfer through quantum networks. We consider a microscopic model of qubit networks coupled to external vibrations by Holstein and Peierls couplings. By treating the positions of the network sites and the site-dependent phonon frequencies as independent variables, we determine the Hamiltonian parameters corresponding to minimum transfer time by Bayesian optimization. The results show that Holstein couplings may accelerate transfer through sub-optimal network configurations but cannot accelerate quantum dynamics beyond the limit of the transfer time in an optimal phonon-free configuration. By contrast, Peierls couplings distort the optimal networks to accelerate quantum transfer through configurations with less than six sites. However, the speed-up offered by Peierls couplings decreases with the network size and disappears for networks with more than seven sites. For networks with seven sites or more, Peierls couplings distort the optimal network configurations and change the mechanism of quantum transfer but do not affect the lower limit of the transfer time. The machine-learning approach demonstrated here can be applied to determine quantum speed limits in other applications.
“…The present study also builds on the work by Kurt et al [46] that examined the effect of Holstein phonons and the work of Mozafari et al [47] that examined the effect of Peierls phonons on energy transfer through small networks. Our intermediate results for phononfree networks or networks with fixed site positions are consistent with previous observations [44].…”
Section: Introductionmentioning
confidence: 77%
“…As discussed in the introduction, many theoretical studies based on quantum master equation approaches found that Holstein couplings can accelerate the excitation energy transport compared with the purely coherent cases [23,46,57]. These studies always consider a fixed system Hamiltonian coupled with a Holstein bath.…”
Section: B Network Coupled To Holstein Phononsmentioning
confidence: 99%
“…This work builds on a series of papers that examined the role of the spatial arrangement of FMO sites on exciton transport through photosynthetic aggregates [44][45][46][47]. The work of Scholak et al [44] has also examined in detail the effect of the non-Hermitian sink on the excitation transfer dynamics.…”
Particle or energy transfer through quantum networks is determined by network topology and couplings to environments. This study examines the combined effect of topology and external couplings on the efficiency of directional quantum transfer through quantum networks. We consider a microscopic model of qubit networks coupled to external vibrations by Holstein and Peierls couplings. By treating the positions of the network sites and the site-dependent phonon frequencies as independent variables, we determine the Hamiltonian parameters corresponding to minimum transfer time by Bayesian optimization. The results show that Holstein couplings may accelerate transfer through sub-optimal network configurations but cannot accelerate quantum dynamics beyond the limit of the transfer time in an optimal phonon-free configuration. By contrast, Peierls couplings distort the optimal networks to accelerate quantum transfer through configurations with less than six sites. However, the speed-up offered by Peierls couplings decreases with the network size and disappears for networks with more than seven sites. For networks with seven sites or more, Peierls couplings distort the optimal network configurations and change the mechanism of quantum transfer but do not affect the lower limit of the transfer time. The machine-learning approach demonstrated here can be applied to determine quantum speed limits in other applications.
“…In turn, the thorough characterisation of decoherence effects in CTQWs is a key ingredient for their use in quantum technology and, in particular, to envisage strategies that may mitigate or cancel out noise. Several studies investigated how noise stemming from the interaction between the system and the environment affects the dynamics of quantum walks [17][18][19][20][21][22][23][24]. Different effects may emerge, such as localization, transition toward a classically distributed walker [20,21,23], but also an improvement in excitation transport efficiency [18,19,22,24].…”
We address decoherence and classicalization of continuous-time quantum walks (CTQWs) on graphs. In particular, we investigate three different models of decoherence, and employ the quantum-classical (QC) dynamical distance as a figure of merit to assess whether, and to which extent, decoherence classicalizes the CTQW, i.e. turns it into the analogue classical process. We show that the dynamics arising from intrinsic decoherence, i.e. dephasing in the energy basis, do not fully classicalize the walker and partially preserves quantum features. On the other hand, dephasing in the position basis, as described by the Haken-Strobl master equation or by the quantum stochastic walk (QSW) model, asymptotically destroys the quantumness of the walker, making it equivalent to a classical random walk. We also investigate the speed of the classicalization process, and observe a faster convergence of the QC-distance to its asymptotic value for intrinsic decoherence and the QSW models, whereas in the Haken-Strobl scenario, larger values of the decoherence rate induce localization of the walker.
“…More recently, however, it has become evident that environmental noise need not be an enemy to the preservation of quantumness [4]. On the contrary, it may sustain the persistence of quantum coherence and, as a consequence, improve the efficiency of quantum transport in complex systems [5][6][7][8][9][10]. In this sense, the initial skepticism on the presence of quantum phenomena in macroscopic "hot and dirty" systems, due to their very short coherence time, has been overcome [11].…”
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