Ineffectiveness of the Dzyaloshinskii-Moriya interaction in the dynamical quantum phase transition in the ITF model

Abstract

Quantum phase transition occurs at a quantum critical value of a control parameter such as the magnetic field in the Ising model in a transverse magnetic field (ITF). Recently, it is shown that ramping across the quantum critical point generates non-analytic behaviors in the time evolution of a closed quantum system in the thermodynamic limit at zero temperature. The mentioned phenomenon is called the dynamical quantum phase transition (DQPT). Here, we consider the one-dimensional (1D) ITF model with added the Dzyaloshinskii-Moriya interaction (DMI). Using the fermionization technique, the Hamiltonian is exactly diagonalized. Although the DM interaction induces chiral phase in the ground state phase diagram of the model, the study of the rate function of the return probability has proven that the DMI does not affect in the DQPT. We conclude accordingly that the ramping across the quantum critical point is not a necessary and sufficient condition for DQPT.

arXiv comment4 pages, will be appear in JPCM as a letter

References in corpus (42)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Time-dependence of correlation functions following a quantum quench
• Dynamics of Dzyaloshinskii domain walls in ultrathin magnetic films
• Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
• Many-body localization in a quantum simulator with programmable random disorder
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Quantum Quench in the Transverse Field Ising Chain
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Dynamics of Loschmidt echoes and fidelity decay
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Observation of a dynamical topological phase transition
• Direct observation of the Dzyaloshinskii-Moriya interaction in a Pt/Co/Ni film
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Theory of the field-induced gap in $S=1/2$ antiferromagnetic chains
• On the Field-Induced Gap in Cu Benzoate and Other S=1/2 Antiferromagnets
• Observation of stable Neel skyrmions in Co/Pd multilayers with Lorentz transmission electron microscopy
• Thermodynamics of the Anisotropic Spin-1/2 Heisenberg Chain and Related Quantum Chains
• Dynamical quantum phase transitions and the Loschmidt echo: A transfer matrix approach
• Disentangling dynamical phase transitions from equilibrium phase transitions
• Decoherence and the Loschmidt echo
• Quantum Quench of an Atomic Mott Insulator
• Phase Diagram and Entanglement of Ising Model With Dzyaloshinskii-Moriya Interaction
• Dzyaloshinskii-Moriya Interaction and Anisotropy effects on the Entanglement of Heisenberg Model
• Atomic spin chain realization of a model for quantum criticality
• Dynamical Quantum Phase Transitions in the Kitaev Honeycomb Model
• Magnetic Susceptibility of the Kagome Antiferromagnet ZnCu3(OH)6Cl2
• Loschmidt Echo Revivals: Critical and Noncritical
• Dynamical quantum phase transitions in the axial next-nearest-neighbour Ising chain
• Two-stage spin-flop transitions in S = 1/2 antiferromagnetic spin chain BaCu_2Si_2O_7
• Dzyaloshinskii Moriya interaction across antiferromagnet / ferromagnet interface
• The anisotropic Heisenberg model in a transverse magnetic field
• Transverse spectral functions and Dzyaloshinskii-Moriya interactions in XXZ spin chains
• Symmetric and antisymmetric exchange anisotropies in quasi-one-dimensional CuSe${}_2$O${}_5$ as revealed by ESR
• High-field magnetization and magnetic phase diagram of $\alpha$-Cu${}_2$V${}_2$O${}_7$
• Ising order in a magnetized Heisenberg chain subject to a uniform Dzyaloshinskii-Moriya interaction
• Metamagnetic phase transition in the Ising plus Dzyaloshinskii-Moriya model
• 1D Frustrated Ferromagnetic Model with Added Dzyaloshinskii-Moriya Interaction
• Entanglement study of the 1D Ising model with Added Dzyaloshinsky-Moriya interaction
• Quantum corrections of the Dzyaloshinskii-Moriya interaction on the spin-1/2 AF-Heisenberg chain in an uniform magnetic field

Cited by in corpus (9)

• Dynamical bulk boundary correspondence and dynamical quantum phase transitions in higher order topological insulators
• Long-range spin chirality dimer order in the Heisenberg chain with modulated Dzyaloshinskii-Moriya interactions
• Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases
• Dynamics of coherence: Maximal quantum Fisher information vs. Loschmidt echo
• Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction
• Entanglement and quantum correlations in the XX spin-$1/2$ honeycomb lattice
• Fisher zeroes and dynamical quantum phase transitions for two- and three-dimensional models
• Dynamical relaxation behavior of extended XY chain with gapless phase following a quantum quench
• A Dynamical Bulk-Boundary Correspondence in Two Dimensional Topological Matter