We investigate two separate notions of dynamical phase transitions in the two-dimensional nearest-neighbor transverse-field Ising model on a square lattice using matrix product states and hybrid infinite time-evolving block decimation algorithm, where is implemented an infinitely long cylinder with finite diameter along which periodic boundary conditions are employed. Starting ordered initial s...

The transverse Ising magnet Hamiltonian describing the Ising chain in a transverse magnetic field is the archetypal example of a system that undergoes a transition at a quantum critical point (QCP). The columbite CoNb2O6 is the closest realization of the transverse Ising magnet found to date. At low temperatures, neutron diffraction has observed a set of discrete collective spin modes near the ...

The continuous-space Schr\"odinger equation is mapped to the transverse Ising model while achieving an exponential advantage over classical computers: A step closer efficient simulation of multi-particle systems.

We consider the nonequilibrium time evolution of the transverse magnetization in the critical Ising and XX quantum chains. For some inhomogeneously magnetized initial states we derive analytically the transverse magnetization profiles and show that they evolve into scaling forms in the long-time limit. In particular it is seen that the Ising chain exhibits some similarities with the conserved d...

A phase transition indicates a sudden change in the properties of a large system. For temperature-driven phase transitions this is related to nonanalytic behavior of the free energy density at the critical temperature: The knowledge of the free energy density in one phase is insufficient to predict the properties of the other phase. In this Letter we show that a close analogue of this behavior ...

Random current representation (RCR) for transverse field Ising models (TFIM) has been introduced in [15]. This representation is a space-time version of the classical RCR exploited by Aizenman et. al. [1, 3, 4]. In this paper we formulate and prove corresponding space-time versions of the classical switching lemma and show how they generate various correlation inequalities. In particular we pro...

We study the onset of eigenstate thermalization in the two-dimensional transverse field Ising model (2D-TFIM) in the square lattice. We consider two nonequivalent Hamiltonians: the ferromagnetic 2D-TFIM and the antiferromagnetic 2D-TFIM in the presence of a uniform longitudinal field. We use full exact diagonalization to examine the behavior of quantum chaos indicators and of the diagonal matri...

We study the dimensions of non-chiral operators in the Veneziano limit of N = 1 supersymmetric QCD in the conformal window. We show that when acting on gaugeinvariant operators built out of scalars, the 1-loop dilatation operator is equivalent to the spin chain Hamiltonian of the 1D Ising model in a transverse magnetic field, which is a nontrivial integrable system that is exactly solvable at f...

We consider a three-dimensional Ising model in a transverse magnetic field, h and a bulk field H. An interface is introduced by an appropriate choice of boundary conditions. At the point (H = 0, h = 0) spin configurations corresponding to different positions of the interface are degenerate. By studying the phase diagram near this multiphase point using quantum-mechanical perturbation theory we ...

Crystals of trapped atomic ions are among the most promising platforms for the quantum simulation of many-body quantum physics. Here, we describe recent developments in the simulation of quantummagnetic spin models with trapped 171Yb ions, and discuss the possibility of scaling the system to a level of complexity where classical computation becomes intractable. 5 Author to whom any corresponden...