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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Heisenberg-Pauli-Weyl uncertainty principle based on Phase derivatives
相位导数 Heisenberg Pauli-Weyl不确定性原理
2023/11/13
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...
Asymptotics of the mean-field Heisenberg model
Asymptotics the mean-field Heisenberg model Mathematical Physics
2012/4/16
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. ...
Very High Precision Determination of Low-Energy Parameters: The 2-d Heisenberg Quantum Antiferromagnet as a Test Case
Precision Determination Low-Energy Parameters
2011/1/7
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...
Dysprosium-based experimental representatives of an Ising-Heisenberg chain and a decorated Ising ring
Dysprosium-based experimental representatives decorated Ising ring
2010/11/24
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...
Effect of anisotropy on the field induced quantum critical properties of the three dimensional s=1/2 Heisenberg model
Effect of anisotropy field induced quantum critical properties
2010/11/18
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...
Spin wave calculation of the field-dependent magnetization pattern around an impurity in Heisenberg antiferromagnets
Spin wave calculation field-dependent magnetization pattern Heisenberg antiferromagnets
2010/11/18
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...
Quantum criticality in the SO(5) bilinear-biquadratic Heisenberg chain
Quantum criticality SO(5) bilinear-biquadratic Heisenberg chain
2010/11/18
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 spatially anisotropic, frustrated spin-1/2 Heisenberg antiferromagnet on a stacked square lattice
Magnetic phase diagram of spatially anisotropic stacked square lattice
2010/11/17
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.
Very High Precision Determination of Low-Energy Parameters: The 2-d Heisenberg Quantum Antiferromagnet as a Test Case
Very High Precision Determination of Low-Energy Paraameters 2-d Heisenberg Quantum Antiferromagnet Test Case
2011/1/14
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 ...
Valence-bond crystal in the extended Kagomé spin-1/2 quantum Heisenberg antiferromagnet: A variational Monte Carlo approach
Valence-bond crystal extended Kagomé spin-1/2 quantum variational Monte Carlo approach
2010/11/24
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 ...
Controlling qubit arrays with anisotropic XXZ Heisenberg interaction by acting on a single qubit
Controlling qubit arrays anisotropic XXZ Heisenberg interaction acting single qubit
2010/11/9
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...
Entanglement Transfer via XXZ Heisenberg chain with DM Interaction
Entanglement Transfer XXZ Heisenberg chain DM Interaction
2010/10/29
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...
Dynamical simulation of integrable and non-integrable models in the Heisenberg picture
Dynamical simulation non-integrable models Heisenberg picture
2010/10/21
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 ...
Extending PT symmetry from Heisenberg algebra to E2 algebra
Extending PT symmetry Heisenberg algebra E2 algebra
2010/10/27
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...