Quantum systems evolving unitarily and subject to quantum measurements exhibit various types of non-equilibrium phase transitions, arising from the competition between unitary evolution measurements. Dissipative transitions in steady states time-independent Liouvillians measurement induced at level trajectories are two primary examples such transitions. Investigating a many-body spin system periodic resetting measurements, we argue that dissipative Floquet dynamics provides natural framework...

We explore the dynamical phases of unitary Clifford circuits with variable-range interactions, coupled to a monitoring environment. investigate two classes models, distinguished by action gates, which either are organized in clusters finite-range two-body or pair-wise interactions randomly distributed throughout system power-law distribution. find range plays key role characterizing both and their measurement-induced transitions. For cluster gates we transition between phase volume-law...

We study the slow quenching dynamics (characterized by an inverse rate, $\tau^{-1}$) of a one-dimensional transverse Ising chain with nearest neighbor ferromagentic interactions across quantum critical point (QCP) and analyze Loschmidt overlap {measured using subsequent temporal evolution final wave function (reached at end quenching) time-independent Hamiltonian}. Studying Fisher zeros corresponding generalized "partition function", we probe non-analyticities manifested in rate return...

We study quenching dynamics of a one-dimensional transverse Ising chain with nearest neighbor antiferromagentic interactions in the presence longitudinal field which renders model non-integrable. The spin is studied following slow (characterized by rate) or sudden quenches field; residual energy, as obtained numerically using t-DMRG scheme, found to satisfy analytically predicted scaling relations both cases. However, analyzing temporal evolution Loschmidt overlap, we find different...

We study the dynamical fidelity $\mathcal{F} (t)$ and Loschmidt echo $\mathcal{L} (t)$, following a periodic driving of transverse magnetic field quantum Ising chain (back forth across critical point) by calculating overlap between initial ground state reached after $n$ periods $\tau$. show that $\log{\mathcal{F}}(n\tau)/L$ (the logarithm per-site) reaches steady value in asymptotic limit $n\to \infty$, we derive an exact analytical expression for this quantity. Remarkably,...

We study an integrable spin chain with three interactions and the staggered field $(\ensuremath{\lambda})$ while latter is quenched either slowly [in a linear fashion in time $(t)$ as $t/\ensuremath{\tau}$, where $t$ goes from large negative value to positive $\ensuremath{\tau}$ inverse rate of quenching] or suddenly. In process, system crosses quantum critical points gapless phases. address question whether there exist nonanalyticities [known dynamical phase transitions (DPTs)] subsequent...

We study the Loschmidt echo (LE) in a central spin model which is globally coupled to an environment ($E$) subjected small and sudden quench at $t=0$, so that its state $t={0}^{+}$ remains same as ground of initial environmental Hamiltonian before quench; this leads nonequilibrium situation. This now evolves with two Hamiltonians, final following modified version incorporates additional term arising due coupling environment. Using generic short-time scaling decay rate, we establish...

We study the work statistics of a periodically-driven integrable closed quantum system, addressing in particular role played by presence critical point. Taking example one-dimensional transverse Ising model spatially homogeneous but periodically time-varying field frequency , we arrive at characteristic cumulant generating function G(u), which is then used to calculate distribution P(W). By applying Floquet theory show that, infinite time limit, P(W) converges, starting from initial ground...

Using the scaling relation of ground state quantum fidelity, we propose most generic relations irreversible work (the residual energy) a closed system at absolute zero temperature when one parameters its Hamiltonian is suddenly changed. We consider two extreme limits: heat susceptibility limit and thermodynamic limit. It argued that entropy generated for thermal quench low enough temperatures initially in Gibbs likely to show similar behavior. To illustrate this proposition, zero-temperature...

We analyze the ground-state entanglement entropy of extended Bose-Hubbard model with infinite-range interactions. This describes low-energy dynamics ultracold bosons tightly bound to an optical lattice and dispersively coupled a cavity mode. The competition between on-site repulsion global cavity-induced interactions leads rich phase diagram, which exhibits superfluid, supersolid, insulating (Mott checkerboard) phases. use slave-boson treatment harmonic quantum fluctuations around mean-field...

We investigate the mean-field phase diagram of Bose-Hubbard model with infinite-range interactions in two dimensions. This describes ultracold bosonic atoms confined by a two-dimensional optical lattice and dispersively coupled to cavity mode same wavelength as lattice. determine ground-state for grand-canonical ensemble means analytical numerical methods. Our results mostly agree ones reported Dogra et al. [N. Dogra, F. Brennecke, S. D. Huber, T. Donner, Phys. Rev. A 94, 023632 (2016)],...

We investigate the effect of marginality on ground state fidelity and Loschmidt echo. For this purpose, we study above quantities near quantum critical point (QCP) two-dimensional (2-D) Dirac Hamiltonian in presence a mass term which is tuned to zero at point. An ideal example would be that low-energy carriers graphene opens up band gap. This happens marginal situation where behavior echo markedly different as compared one-dimensional case. encounter point, displayed absence sharp dip (or...

Abstract Micro‐Raman spectra were obtained with three different films and also amorphous carbon highly oriented pyrolytic graphite samples for comparison. The of the crystallites are similar, differing mainly in frequency line width major position varying from 1566 to 1578 cm −1 . corresponding is at 1581 Another difference related strength two broad background features ca. 1350 1595 , evidently due a certain amount within spot area. In general, similar that C 70 reported earlier.

In this paper, we study the Loschmidt Echo (LE) of a two-dimensional Kitaev model residing on honeycomb lattice which is chosen to be an environment that coupled globally central spin. The decay LE highly influenced by quantum criticality environmental spin model, e.g., it shows sharp dip close anisotropic critical point (AQCP) its phase diagram. early time and collapse revival as function at AQCP also exhibit interesting scaling behavior with system size, verified numerically. It has been...