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In this talk we introduce some recent developments of Heisenberg-Pauli-Weyl uncertainty principle in the different settings.
No process in nature can perfectly clone an arbitrary quantum state. But is it possible to engineer processes that replicate quantum information with vanishingly small error? Here we demonstrate the p...
We consider the mean-field classical Heisenberg model and obtain detailed information about the magnetization by studying the model on a complete graph and sending the number of vertices to infinity. ...
The 2-d spin 1/2 Heisenberg antiferromagnet with exchange coupling $J$ is investigated on a periodic square lattice of spacing $a$ at very small temperatures using the loop-cluster algorithm. Monte Ca...
It is shown that the bond-decorated Ising model is a realistic model for certain real magnetic compounds containing lanthanide ions. The lanthanide ion plays the role of Ising spin. The re- quired c...
The field induced quantum critical properties of the three dimensional spin-1/2 anisotropic antifer-romagnetic Heisenberg model has been studied. We have investigated the quantum phase transition betw...
We consider the magnetic- eld dependent spatial magnetization pattern around a general impurity embedded in a Heisenberg antiferromagnet using both an analytical and a numerical spin wave approach. Th...
The zero-temperature properties of the SO(5) bilinear-biquadratic Heisenberg spin chain are investigated by means of a low-energy approach and large scale numerical calculations. In sharp contrast to ...
Magnetic phase diagram of a spatially anisotropic, frustrated spin- 12 Heisenberg antiferromagnet on a stacked square lattice is investigated using second-order spin-wave expansion.
The 2-d spin 1 2 Heisenberg antiferromagnet with exchange coupling J is investigated on a periodic square lattice of spacing a at very small temperatures using the loop-cluster algorithm. Monte Carlo ...
The highly-frustrated spin-1=2 quantum Heisenberg model with both nearest (J1) and next- nearest (J2) neighbor exchange interactions is revisited by using an extended variational space of projected ...
We investigate anisotropic $XXZ$ Heisenberg spin-1/2 chains with control fields acting on one of the end spins, with the aim of exploring local quantum control in arrays of interacting qubits. In this...
The role of spin-orbit interaction, arises from the Dzyaloshinski-Moriya anisotropic antisymmetric interaction, on the entanglement transfer via an antiferromagnetic XXZ Heisenberg chain is investigat...
The numerical simulation of quantum many-body dynamics is typically limited by the linear growth of entanglement with time requiring exponentially increasing computational ressources to reach a given ...
The E2 algebra has three elements, J, u, and v, which satisfy the commutation relations [u; J] = iv, [v; J] = 􀀀iu, [u; v] = 0. We can construct the Hamiltonian H = J2 +gu, where g is a real p...

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