Targeting pure quantum states by strong noncommutative dissipation

Abstract

We propose a solution to the problem of realizing a predefined and arbitrary pure quantum state, based on the simultaneous presence of coherent and dissipative dynamics, noncommuting on the target state and in the limit of strong dissipation. More precisely, we obtain a necessary and sufficient criterion whereby the nonequilibrium steady state (NESS) of an open quantum system described by a Lindblad master equation approaches a target pure state in the Zeno regime, i.e., for infinitely large dissipative coupling. We also provide an explicit formula for the characteristic dissipative strength beyond which the purity of the NESS becomes effective, thus paving the way to an experimental implementation of our criterion. For an illustration, we deal with targeting a Bell state, an arbitrary pure state of $N$ qubits, and a spin-helix state of $N$ qubits.

11 pages, 5 figures

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Cited by in corpus (11)

• Effective quantum Zeno dynamics in dissipative quantum systems
• Solution of the Lindblad equation for spin helix states
• Winding up quantum spin helices: How avoided level crossings exile classical topological protection
• Spin-helix states in the $XXZ$ spin chain with strong dissipation
• Quantum spin helices more stable than the ground state: onset of helical protection
• Dissipative generation of pure steady states and a gambler's ruin problem
• Transition between dissipatively stabilized helical states
• Generalized Josephson effect with arbitrary periodicity in quantum magnets
• Dissipative cooling towards phantom Bethe states in boundary driven XXZ spin chain
• Signatures of quantum phases in a dissipative system
• Switching pure states of the dissipative Heisenberg XXZ chain by local magnetic fields