Quantum computation and quantum information
Quantum computation and quantum information
Principles of Quantum Computation And Information: Basic Tools And Special Topics
Principles of Quantum Computation And Information: Basic Tools And Special Topics
Nuclear polarization and entanglement in spin systems
Quantum Information Processing
Entanglement and multiple quantum coherence dynamics in spin clusters
Quantum Information Processing
Entanglement of dipolar coupling spins
Quantum Information Processing
Entanglement under equilibrium establishing in spin systems subjected to radiofrequency field
Quantum Information Processing
Quantum discord in spin systems with dipole---dipole interaction
Quantum Information Processing
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We study the appearance of the entangled states in a one-dimensional finite chain of dipolar-coupling nuclear spins of 1/2 in the conditions of thermodynamic equilibrium. It is shown that entanglement is achieved by the application of a low external magnetic field in which the Zeeman interaction energy is the order of or even less than the dipolar interaction one. When these energies are equal, the critical temperature, i. e. the temperature of the entanglement appearance, coincides with the temperature at which the heat capacity of the spin chain achieves its maximum. The obtained relationship between the critical temperature and the magnetic field can be considered as an entanglement witness. The dependences of the heat capacity on temperature and magnetic field have different character for entangled and separable states and can be served for experimental detection of entangled states.