至此我们已经将哈密顿量完全对角化,得到了Ising模型的精确解。哈密顿量的对角化形式为: \begin{equation} \begin{aligned} H&=\sum_{k>0}{\varepsilon _k\left( \eta _{k}^{\dagger}\eta _k-\eta _{-k}\eta _{-k}^{\dagger} \right)}\\ &=\sum_{k>0}{\varepsilon _k\left( \eta...
Transverse field Ising modelWe propose a novel platform for the study of quantum phase transitions in one dimension (1D QPT). The system consists of a specially designed chain of asymmetric SQUIDs; each SQUID contains several Josephson junctions with one junction shared between the nearest-neighbor...
These advances push the long-range interacting systems from the theoretical playground to the field relevant to practical applications. One of the examples of controllable 1D long-range interacting spin systems is the following long-range transverse Ising model: $$H=\sum _{i\,{<}\,j}\frac{{...
[4]Li B W, Wu Y K, Mei Q X, et al. Probing critical behavior of long-range transverse-field Ising model through quantum Kibble-Zurek mechanism[J]. PRX Quantum, 2023, 4(1): 010302. [5]Harty T P, Allcock D T C, Ballance C J, et a...
The use of such a representation simplifies the study and derivation of the model static and low-temperature quantities. Moreover, a related pseudofermion representation is used in that section to compute the spin longitudinal and transverse dynamical structure factors in the vicinity of their spectra...
For pioneering contributions to physics research and impactful industrial applications in radiation medical imaging, advancing the field by successfully translating research results into groundbreaking real-world technologies. Anatoli Polkovnikov 2024 recipient, Division of Atomic, Molecu...
Phase diagrams in an ultra-thin spin-1 transverse Ising film with bond or site dilution at surfaces The phase diagrams and magnetizations of two nanoscaled thin films with bond and site dilutions at the surfaces, described by the transverse Ising model, a... T Kaneyoshi - 《Physica B Conden...
1D transverse Ising modelscorrelation functionsdecoherenceWith the development of lab technology, the low-order correlation function can no longer describe the main effect of decoherence in the quantum many-body system, so it is imperative to study the higher-order correlation function of the system....
The effect of uniformly distributed fluctuation in the coupling strength of a 100 spins transverse field quantum Ising chain is studied using the Density Matrix Renormalization Group on the Matrix Product States formalism. Uniform noise with mean zero and amplitude η is introduced to uniform nearest ...
CAVITY MODELPAIR CORRELATION FUNCTIONBy applying a unified real space renormalization group (URG) mapping method, we study the one-dimensional spin-1/2 Ising model with a transverse field (ITF). Unlike the other real space renormalization group methods, the URG method describes the properties of ...