Multiple unitary-pulses for coherent-control of tunnelling and decoherence

Coherent Control of Quantum Dynamics with Sequences of Unitary Phase-Kick Pulses

“…coupled to a free-standing quasi two-dimensional silicon phonon cavity (see Fig. 2) [6]. The model allows one to investigate coherent control in a system analogous to suspended heterostructures typically built with nanomachining technology [118] [119] that exhibits rich quantum chaotic behavior [120,121].…”

“…As a result, a variety of coherent control methods based on sequences of ultrafast laser pulses have been proposed [41][42][43][44], including the suppression of quantum tunneling by affecting the relative phases of interfering dynamical pathways [4][5][6]. The ultimate goal of these developments has been to provide fundamental understanding on how to manipulate quantum mechanical interferences in order to control the dynamics of quantum systems ranging from single atoms and molecules to quantum reaction dynamics and processes in nanoscale devices, including control over quantum superpositions of macroscopically distinct states which can be realized in REGO▪SANTOS▪BATISTA COHERENT CONTROL OF QUANTUM DYNAMICS _____________________________________________________________________________________________ 5 Josephson junction based devices and nanomechanical resonators.…”

“…The dynamics of decoherence has been investigated by computing the time evolution of the electronic angular momentum } ) The dynamics of decoherence has been manipulated by a coherent control scenario comprising a sequence of 2 pulses [6]. Each pulse has been described by the unitary operator,…”

“…These results suggest that the observation of Rabi oscillations, associated with the adsorbate electronic populations, could provide a simple experimental probe of the predicted quantum coherent relaxation dynamics.Computational studies have addressed the nontrivial question as to whether the underlying superexchange hole-tunneling dynamics, associated with electronic relaxation in monolayers of adsorbate molecules, could be coherently controlled by the application of (deterministic and stochastic) sequences of unitary phase-kick pulses (seeFig. 5)[4,6]. As an example,Fig.…”

Tunneling under Coherent Control by Sequences of Unitary Pulses

“…Equation 7 yields the standard expression for the spontaneous population decay of state |sae due to coupling to the manifold of continuum states |kae, as follows: 15,22,43 …”