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Entanglement in a molecular magnet dimer

T. Guidi, Elena Garlatti, Stefano Carretta +6 more

Bulletin of the American Physical SocietyMar 5, 20190 citations

Rotating entangled states of an exchange-coupled dimer of single-molecule magnets

S. A. Owerre

An antiferromagnetically exchange-coupled dimer of single molecule magnets which possesses a large spin tunneling has been investigated. For this system, the ground and first excited states are entangled states, and the Hamiltonian is effectively similar to that of a two-state system at 2sth order in perturbation theory; thus this system can be mapped to an entangled pseudospin 1/2 particles. We study the effects of interaction and rotation of this system about its staggered easy-axis direction. The corresponding Hamiltonian of a rotated two-state entangled spin system is derived with its exact low-energy eigenstates and eigenvalues. We briefly discuss the effect of a dissipative environment on this rotated two-state system.An antiferromagnetically exchange-coupled dimer of single molecule magnets which possesses a large spin tunneling has been investigated. For this system, the ground and first excited states are entangled states, and the Hamiltonian is effectively similar to that of a two-state system at 2sth order in perturbation theory; thus this system can be mapped to an entangled pseudospin 1/2 particles. We study the effects of interaction and rotation of this system about its staggered easy-axis direction. The corresponding Hamiltonian of a rotated two-state entangled spin system is derived with its exact low-energy eigenstates and eigenvalues. We briefly discuss the effect of a dissipative environment on this rotated two-state system.

arXiv:1402.2687Journal of Applied PhysicsApr 17, 20141 citation

Quantum Entanglement and Coherence in Molecular Magnets

Muhandis Shiddiq

Jan 1, 20150 citations

Spin Dynamics of Supramolecular Dimer [Mn 4 ] 2 Interacting With a Spin-polarized Electron

Guofeng Zhang, Gao Ying‐Fang, Yin Wen +2 more

A new family of the supramolecular antiferromagnetically exchange-coupled dimer of single-molecules magnets, [Mn 4 ] 2 , really behave as a quantum mechanical coupled system and can be used for quantum computation [Tiron et al (2003) Phys. Rev. Lett . 91 227203]. We study the time evolution of [Mn 4 ] 2 dimer interacting with an injected electron by solving the time-dependent Schrödinger equations. We find that the variations of [Mn 4 ] 2 dimer magnetization and the electron spin crucially depend on the exchange interaction strength. Time evolution of the entanglement between the injected electron and supramolecular dimer [Mn 4 ] 2 is evaluated. It is observed that entanglement oscillates in time and is closely related to the spin variation of injected electron. From these characteristics the technique for the reversing and read-out of supramolecular dimer [Mn 4 ] 2 spin states is suggested.A new family of the supramolecular antiferromagnetically exchange-coupled dimer of single-molecules magnets, [Mn 4 ] 2 , really behave as a quantum mechanical coupled system and can be used for quantum computation [Tiron et al (2003) Phys. Rev. Lett . 91 227203]. We study the time evolution of [Mn 4 ] 2 dimer interacting with an injected electron by solving the time-dependent Schrödinger equations. We find that the variations of [Mn 4 ] 2 dimer magnetization and the electron spin crucially depend on the exchange interaction strength. Time evolution of the entanglement between the injected electron and supramolecular dimer [Mn 4 ] 2 is evaluated. It is observed that entanglement oscillates in time and is closely related to the spin variation of injected electron. From these characteristics the technique for the reversing and read-out of supramolecular dimer [Mn 4 ] 2 spin states is suggested.

Chinese Physics LettersMar 17, 20042 citations

Entanglement in the supermolecular dimer [Mn4]2

Xu Chang-Tan, Gang Chen, He Ming-Ming +1 more

This paper investigates the entanglement in the supermolecular dimer [Mn 4 ] 2 consisting of a pair of single molecular magnets with antiferromagnetic exchange-coupling J . The conventional von Neumann entropy as a function of the exchange-coupling is calculated explicitly for all eigenstates with the quantum number range from M = M 1 + M 2 = −9 to 0. It is shown that the von Neumann entropy is not a monotonic function of the coupling strength. However, it is significant that the entropy of entanglement has the maximum values and the minimum values for most eigenstates, which is extremely useful in the quantum computing. It also presents the time-evolution of entanglement from various initial states. The results are useful in the design of devices based on the entanglement of two molecular magnets.This paper investigates the entanglement in the supermolecular dimer [Mn 4 ] 2 consisting of a pair of single molecular magnets with antiferromagnetic exchange-coupling J . The conventional von Neumann entropy as a function of the exchange-coupling is calculated explicitly for all eigenstates with the quantum number range from M = M 1 + M 2 = −9 to 0. It is shown that the von Neumann entropy is not a monotonic function of the coupling strength. However, it is significant that the entropy of entanglement has the maximum values and the minimum values for most eigenstates, which is extremely useful in the quantum computing. It also presents the time-evolution of entanglement from various initial states. The results are useful in the design of devices based on the entanglement of two molecular magnets.

Chinese PhysicsNov 2, 20064 citations

Quantum entanglement in a molecular magnet with itinerant electrons

Li-ya Zhu, Cheng-Bo Duan, Weizhong Wang

Journal of Magnetism and Magnetic MaterialsJul 28, 20082 citations

Entanglement of Exchange-Coupled Dimers of Single-Molecule Magnets

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