Influence of weak frustration on quench dynamics of 1D spin-1/2 ANNNI model

Cheraghi, Hadi; Tafreshi, Majid Jafar; Mahdavifar, S.

doi:10.1016/j.jmmm.2019.166078

Cited by 8 publications

(2 citation statements)

References 52 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Already the seminal studies unambiguously confirm that finite quantum spin, fermion or boson system may exhibit all the hallmarks of the QPTs [12][13][14][15][16]. The exact calculation of various quantum parameters, such as entanglement [17][18][19][20][21][22][23], Loschmidt echo [24,25], fidelity [26] quantum discord (QD) [27], quantum coherence [28], time-dependent quantum behaviour of a complex few spin cluster [29,30] and quantum correlations after sudden quenches [31][32][33] has been successfully used to identify various QPTs using finite system studies. However, each tool has its limitations for different types of QPTs, and only a proper combination of used markers allows to get a correct description.…”

Section: Introductionmentioning

confidence: 99%

Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction

Japaridze,

Cheraghi,

Mahdavifar

2021

Preprint

View full text Add to dashboard Cite

We consider the ground-state phase diagram of a one-dimensional spin-1/2 XXZ chain with spatially modulated Dzyaloshinskii-Moriya interaction in the presence of applied along with the ẑ axis alternating magnetic field. The model is studied using the continuum-limit bosonization approach and the finite system exact numerical technique. In the absence of the magnetic field, the groundstate phase diagram of the model includes besides the ferromagnetic and gapless Luttiger-Liquid (LL) phases two gapped phases, the composite (C1) phase characterized by the coexistence of the long-range-ordered (LRO) alternating dimerization and the spin chirality patterns, and the composite (C2) phase characterized in addition to the coexisting spin dimerization and alternating chirality patterns, by the presence of LRO antiferromagnetic order. In the case of two-letter gapped phases, in the case of a uniform magnetic field, the commensurate-incommensurate type quantum phase transitions (QPT) from a gapful phase into the gapless phase have been identified and described using the bosonization treatment and finite chain exact diagonalizations studies. The upper critical magnetic field corresponding to the transition into a fully polarized state has been also determined. It has been shown that the very presence of the staggered component of the magnetic field vapes out the composite (C1) in favour of the composite gapped (C2) phase.

show abstract

Section: Introductionmentioning

confidence: 99%

Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction

Japaridze,

Cheraghi,

Mahdavifar

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…We apply two conditions throughout our study: (i) the initial ground state of the Hamiltonian will be chosen as the initial state of the system (ii) the system will be examined at zero temperature. It should note that recently using these conditions, a new approach of quench dynamics was introduced known as the dynamical quantum phase transition 32 that has been investigated by using different analytical and numerical techniques [33][34][35][36][37][38][39][40][41] , and experimental point of view [42][43][44] . Anyway, using these conditions, we consider 1D spin-1/2 XY model in a transverse field which its ground state phase diagram includes two phases, ferromagnetic (FM) (with the non-zero value of the magnetization along the X-axis) and paramagnetic (PM) (with the almost saturated value of the magnetization along the Z-axis).…”

Section: Introductionmentioning

confidence: 99%

Probing the Possibilities of Ergodicity in the 1D Spin-1/2 XY Chain with Quench Dynamics

Cheraghi

Mahdavifar

2020

Sci Rep

Self Cite

View full text Add to dashboard Cite

Ergodicity sits at the heart of the connection between statistical mechanics and dynamics of a physical system. By fixing the initial state of the system into the ground state of the Hamiltonian at zero temperature and tuning a control parameter, we consider the occurrence of the ergodicity with quench dynamics in the one-dimensional (1D) spin-1/2 XY model in a transverse magnetic field. The ground-state phase diagram consists of two ferromagnetic and paramagnetic phases. It is known the magnetization in this spin system is non-ergodic. We set up two different experiments as we call them single and double quenches and test the dynamics of the magnetization along the Z-axis and the spin-spin correlation function along the X-axis which are the order parameters of the zero-temperature phases . Our exact results reveal that for single quenches at zero-temperature, the ergodicity depends on the initial state and the order parameter. In single quenches for a given order parameter, ergodicity will be observed with an ergodic-region for quenches from another phase, non-correspond to the phase of the order parameter, into itself. In addition, a quench from a ground-state phase point corresponding to the order parameter into or very close to the quantum critical point, h c = 1.0, discloses an ergodic behavior. Otherwise, for all other single quenches, the system behaves non-ergodic. Interestingly on the other setup, a double quench on a cyclic path, ergodicity is completely broken for starting from the phase corresponding to the order parameter.Otherwise, it depends on the first quenched point, and the quench time T when the model spent before a second quench in the way back which gives an ability to controlling the ergodicity in the system. Therefore, and contrary to expectations, in the mentioned model the ergodicity can be observed with probing quench dynamics at zero-temperature. Our results provide further insight into the zero-temperature dynamical behavior of quantum systems and their connections to the ergodicity phenomenon. arXiv:2003.09462v1 [quant-ph]

show abstract

Amplifying quantum correlations with quench dynamics in a quantum spin chain: Steady-states versus ground-states

Kheiri¹,

Cheraghi²,

Mahdavifar³

2022

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

Influence of weak frustration on quench dynamics of 1D spin-1/2 ANNNI model

Cited by 8 publications

References 52 publications

Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction

Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction

Probing the Possibilities of Ergodicity in the 1D Spin-1/2 XY Chain with Quench Dynamics

Amplifying quantum correlations with quench dynamics in a quantum spin chain: Steady-states versus ground-states

Contact Info

Product

Resources

About