Writing electronic ferromagnetic states in a high-temperature paramagnetic nuclear spin system

Abstract

In this paper we use the Nuclear Magnetic Resonance (NMR) to write eletronic states of a ferromagnetic system into a high-temperature paramagnetic nuclear spins. Through the control of phase and duration of radiofrequency pulses we set the NMR density matrix populations, and apply the technique of quantum state tomography to experimentally obtain the matrix elements of the system, from which we calculate the temperature dependence of magnetization for different magnetic fields. The effects of the variation of temperature and magnetic field over the populations can be mapped in the angles of spins rotations, carried out by the RF pulses. The experimental results are compared to the Brillouin functions of ferromagnetic ordered systems in the mean field approximation for two cases: the mean field is given by (i) $B=B_0+\lambda M$ and (ii) $B=B_0+\lambda M+{\lambda }^{\prime }{M}^3$, where $B_0$ is the external magnetic field, and $\lambda ,{\lambda }^{\prime }$ are mean field parameters. The first case exhibits second order transition, whereas the second case has first order transition with temperature hysteresis. The NMR simulations are in good agreement with the magnetic predictions.

References in corpus (15)

• NMR Techniques for Quantum Control and Computation
• Separability of very noisy mixed states and implications for NMR quantum computing
• Complete quantum teleportation using nuclear magnetic resonance
• Design of Strongly Modulating Pulses to Implement Precise Effective Hamiltonians for Quantum Information Processing
• Benchmarking quantum control methods on a 12-qubit system
• Quantum Simulations on a Quantum Computer
• NMR Based Quantum Information Processing: Achievements and Prospects
• Quantum Phase Transition of Ground-state Entanglement in a Heisenberg Spin Chain Simulated in an NMR Quantum Computer
• Liquid state NMR simulations of quantum many-body problems
• Use of Quadrupolar Nuclei for Quantum Information processing by Nuclear Magnetic Resonance: Implementation of a Quantum Algorithm
• NMR Simulation of an Eight-State Quantum System
• Experimental realization of a continuous version of the Grover algorithm
• Quantum parallelism as a tool for ensemble spin dynamics calculations
• Quantum information processing using strongly-dipolar coupled nuclear spins
• NMR Analog of Bell's Inequalities Violation Test

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