Cooling of Many-Body Systems via Selective Interactions

Abstract

We propose a model describing $N$ spin-1/2 systems coupled through $N$-order homogeneous interaction terms, in presence of local time-dependent magnetic fields. This model can be experimentally implemented with current technologies in trapped ions and superconducting circuits. By introducing a chain of unitary transformations, we succeed in exactly converting the quantum dynamics of this system into that of $2^{N-1}$ fictitious spin-1/2 dynamical problems. We bring to light the possibility of controlling the unitary evolution of the $N$ spins generating GHZ states under specific time-dependent scenarios. Moreover, we show that by appropriately engineering the time-dependence of the coupling parameters, one may choose a specific subspace in which the $N$-spin system dynamics takes place. This dynamical feature, which we call time-dependent selective interaction, can generate a cooling effect of all spins in the system.

7 pages, 1 figure with 4 subfigures

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• Dynamics of a harmonic oscillator coupled with a Glauber amplifier
• Quantum Correlation Dynamics in Controlled Two-Coupled-Qubit Systems
• Analytically solvable $2\times 2$ $PT$-symmetry dynamics from su(1,1)-symmetry problems
• Dzyaloshinskii-Moriya and dipole-dipole interactions affect coupling-based Landau-Majorana-Stückelberg-Zener transitions
• Spin-chain-star systems: entangling multiple chains of spin qubits
• Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature
• Greenberger-Horne-Zeilinger state generation in qubit-chains via a single $\pi /2$-pulse