We study the the ground state fidelity and the ground state Loschmidt echo of a three-site interacting XX chain in presence of a staggered field which exhibits special types of quantum phase transitions due to change in the topology of the Fermi surface, apart from quantum phase transitions from gapped to gapless phases. We find that, on one hand, the fidelity is able to detect only the boundaries separating the gapped from the gapless phase; it is completely insensitive to the phase transition from the two Fermi points region to the four Fermi points region lying within this gapless phase. On the other hand, the Loschmidt echo shows a dip only at a special point in the entire phase diagram and hence fails to detect any quantum phase transition associated with the present model. We provide appropriate arguments in support of this anomalous behavior. © 2013 American Physical Society.

Uma Divakaran

Department of Physics

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Indian Institute of Technology Palakkad&nbsp;(IIT Palakkad or IIT PKD) is a public autonomous&nbsp;engineering&nbsp;and&nbsp;research&nbsp;institute located in&nbsp;Palakkad,&nbsp;Kerala. It was&nbsp;one of the five new&nbsp;IITs&nbsp;proposed in the&nbsp;2014 Union budget of India. The campus was inaugurated on 3 August 2015. The institute has 94 faculty, 978 students, and 63 non-teaching staffs.

IT Palakkad currently offers four-year Bachelor of Technology (B.Tech) and two years MS programmes in 8 different engineering disciplines including&nbsp;Computer Science, Electrical, Mechanical, Civil among others.

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IIT Palakkad

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

We study an integrable spin chain with three spin interactions and the staggered field (λ) while the latter is quenched either slowly [in a linear fashion in time (t) as t/τ, where t goes from a large negative value to a large positive value and τ is the inverse rate of quenching] or suddenly. In the process, the system crosses quantum critical points and gapless phases. We address the question whether there exist nonanalyticities [known as dynamical phase transitions (DPTs)] in the subsequent real-time evolution of the state (reached following the quench) governed by the final time-independent Hamiltonian. In the case of sufficiently slow quenching (when τ exceeds a critical value τ1), we show that DPTs, of the form similar to those occurring for quenching across an isolated critical point, can occur even when the system is slowly driven across more than one critical point and gapless phases. More interestingly, in the anisotropic situation we show that DPTs can completely disappear for some values of the anisotropy term (γ) and τ, thereby establishing the existence of boundaries in the (γ-τ) plane between the DPT and no-DPT regions in both isotropic and anisotropic cases. Our study therefore leads to a unique situation when DPTs may not occur even when an integrable model is slowly ramped across a QCP. On the other hand, considering sudden quenches from an initial value λi to a final value λf, we show that the condition for the presence of DPTs is governed by relations involving λi,λf, and γ, and the spin chain must be swept across λ=0 for DPTs to occur. © 2016 American Physical Society.

Physical Review E

Tuning the presence of dynamical phase transitions in a generalized XY spin chain

Physical Review B

Fidelity susceptibility of one-dimensional models with twisted boundary conditions

Entanglement entropy of the low-lying excited states and critical properties of an exactly solvable two-leg spin ladder with three-spin interactions

The European Physical Journal B

Magnetocaloric effect in spin-1/2 XX chains with three-spin interactions

Loschmidt echo with a nonequilibrium initial state: Early-time scaling and enhanced decoherence

Physica A: Statistical Mechanics and its Applications

Quantum communication in spin chains with three-site and Dzyaloshinsky‚ÄìMoriya interactions

Three-site interacting spin chain in a staggered field: Fidelity versus Loschmidt echo

Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Publisher	AMER PHYSICAL SOC
ISSN	15393755
Open Access	No