Quantum versus classical transport of energy in coupled two-level systems

Abstract

We consider the problem of energy transport in coupled two-level systems with the goal of shedding light on how nonclassical resources can benefit quantum transport. First, we focus on coherence in the basis composed of eigenstates of the decoupled system Hamiltonian. By using a coherence quantifier, we present an illustrative example of a linear chain of coupled two-level systems to investigate how this resource is associated with an advantage in terms of transport efficiency, when compared to the classical scenario. Finally, we consider the integrated coherence generated by the dynamics and show how it is related to the quantification of the invasiveness of the quantum operation governing the time evolution in the quantum scenario. To illustrate, we analyze the relationship between quantum invasiveness and transport efficiency. We finish this contribution by presenting a concrete example using superconducting qubits where our findings may be experimentally investigated.

Simulation of the sensing mechanism in quantum dot gas sensor by quantum light harvesting approach

“…This definition, using integrated success probabilities, was used in the context of energy transfer from donor to acceptors. An energy current operator can be derived for a general multi-site Hamiltonian (Medina et al, 2013). The expression for an energy current operator j(x) can be obtained from a continuity equation…”

“…This definition, using integrated success probabilities, was used in the context of energy transfer from donor to acceptors. An energy current operator can be derived for a general multi-site Hamiltonian ( Medina et al, 2013 ). The expression for an energy current operator can be obtained from a continuity equation where is the local energy density and identifies the energy current as and the directed energy current from the site i to the sink s is defined as .…”

Scrambling and quantum feedback in a nanomechanical system

“…Thermally averaged OTOC as a function of time is plotted in Fig. (9) for different n. At the finite temperatures, in the semi-classical limit n → ∞, we have Ω n → 0, ω 0R → 0, C ρ = 0 and C ρ [t] = 0. On the other hand, at a zero temperature dynamical effect, i.e., the quantum feedback is captured only by OTOC.…”

“…A sudden quench of parameters on the quantum state of a system leads to reshuffling of quantum information, such as the entanglement stored in a many-body correlated initial quantum state [1][2][3][4][5][6][7][8][9], during the subsequent time evolution. An important question is the swiftness of the spreading of the quantum entanglement.…”

Pulsed multireservoir engineering for a trapped ion with applications to state synthesis and quantum Otto cycles

“…After a cycle, the engine is expected to have converted part of the absorbed energy into net work. They usually operate far from equilibrium and are especially affected by quantum resources [22][23][24][25][26] and particularities of their environments [27][28][29], making them particularly interesting to study quantum thermodynamics.…”