Abstract The dynamical evolution of an open quantum system can be governed by the Lindblad equation density matrix. In this paper, we propose to characterize matrix topology topological invariant its modular Hamiltonian. Since classification such Hamiltonians depends on their symmetry classes, a primary issue address is determining requirement for Lindbladian operators, under which Hamiltonian preserve class during evolution. We solve problem fermionic Gaussian state and being quadratic...

Quantum computing is a promising candidate for accelerating machine learning tasks. Limited by the control accuracy of current quantum hardware, reducing consumption resources key to achieving advantage. Here, we propose resonant dimensionality reduction (QRDR) algorithm based on transition reduce dimension input data and accelerate algorithms. After QRDR, <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mi>N</a:mi></a:math> can be reduced into desired scale <b:math...

Abstract Reservoir computing, distinguished by its reduced training overhead compared to traditional recurrent neural networks, emerges as a proficient architecture for networks. Here, an innovative reservoir computing (RC) paradigm based on cavity magnonics speech recognition task is demonstrated, which leverages the high tunability, low energy consumption, and fast response of magnon polaritons (CMPs). The audio signal filtered into pulse train then input CMP device rapidly alter nonlinear...

Tabletop coherent x-ray sources extending to multi-keV or higher photon energies have versatile applications, including in 4D imaging and semiconductor detectors. However, these can be realized only via high-order harmonic generation (HHG) with an <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mo>∼</mml:mo> </mml:mrow> <mml:mn>10</mml:mn> <mml:mspace width="thickmathspace"/> <mml:mtext>µ</mml:mtext> <mml:mi...

High-order terahertz (THz) sideband generation in semiconductors is a phenomenon with physics similar to that of high-order harmonic but regime much lower frequency. Our previous paper [1] found the electron–hole pair excited by weak optical laser can accumulate Berry phase along cyclic trajectory under driving strong elliptically polarized THz field. Furthermore, appears as Faraday rotation angle emission signal short-pulse excitation monolayer MoS. In this paper, theory extreme nonlinear...

We propose a general framework of nonlinear optics induced by non-Abelian Berry curvature in time-reversal-invariant (TRI) insulators. find that the third-order response TRI insulator under optical and terahertz light fields is directly related to integration over Brillouin zone. apply result insulators with rotational symmetry near band edge. Under resonant excitations, susceptibility proportional flux through iso-energy surface, which equal Chern number surface times $2\ensuremath{\pi}$....

In this letter, we propose how to measure the quantized nonlinear transport using two-dimensional ultracold atomic Fermi gases in a harmonic trap. This scheme requires successively applying two optical pulses left and lower half-planes then measuring number of extra atoms first quadrant. ideal situations, density response successive is quantized, quantization value probes Euler characteristic local sea at trap center. We investigate practical effects experiments, including finite pulse...

Recently, high temperature ($T_c\approx 80$K) superconductivity (SC) has been discovered in La$_3$Ni$_2$O$_7$ (LNO) under pressure. Question arises whether the transition $T_c$ could be further enhanced suitable conditions. A possible route for realizing higher is element substitution. Similar SC appear rare-earth (RE) R$_3$Ni$_2$O$_7$ (RNO, R=RE element) material series The electronic properties RNO materials are dominated by Ni $3d$ orbitals bilayer NiO$_2$ plane. In strong coupling limit,...

The electron transport property of a graphene nanoribbon （GNR） quantum dot in dilution refrigerator at temperature 20 mK is studied. Coulomb blockade diamonds and excited energy levels the are clearly observed. It found that statistical distribution spacing between nearest-neighboring peaks individual peak height consistent respectively with typical Wigner-Dyson Porter-Thomas as prescribed by random matrix theory for chaotic system. Thus， our results demonstrate GNR system low temperatures....

In this paper, we study nonanalyticities or cusps near a topological phase transition driven by changes of global topologies rather than the formation conventional (local) order. The particular transitions between topologically ordered superfluids and nontopological studied in paper are always accompanied emergence disappearance Majorana boundary modes, while at critical point these modes liberated evolve into bulk. Proliferation massless fermions bulk leaves unique thermodynamic signatures....

Quantum phase transitions are usually classified into discrete universality classes that typically only depend on symmetries and spatial dimensionalities. In this Letter, we demonstrate an opportunity to continuously vary the critical exponents or universalities by tuning experimental parameters in a given physical system. Particularly, show long-range spin systems simulated ion traps can be easily tuned with laser detuning. We suggest such experiments also effectively simulate some aspects...

Abstract A quantum object can acquire a geometric phase (such as Berry phases and Aharonov–Bohm phases) when evolving along path in parameter space with non-trivial gauge structures. Inherent to evolutions of wavepackets, diffusion occurs trajectories. Here we show that also be characterized by the imaginary part phase. The results from interference between different instantaneous eigenstate pathways which have during adiabatic evolution. As specific example, study trajectories optically...

Time reversal invariant (TRI) topological superfluids (TSFs) and superconductors (TSCs) are robust symmetry protected gapped states. In this article, we study the evolution of these states in presence time breaking (TRB) fields and/or sufficiently large TRI fields. Physically, one realizations TRB can be internal spin exchange due to background magnetic ordering. We find that fully TSFs TSCs generically separated from other nodal by various zero temperature quantum critical points...

We propose a general mechanism to realize nematic superconductivity (SC) and reveal its exotic vestigial phases in the quasi-crystal (QC). Starting from Penrose Hubbard model, our microscopic studies suggest that Kohn-Luttinger driven SC QC is usually gapless due violation of Anderson's theorem, rendering both chiral SCs are common. The can support novel by pairing phase fluctuations above $T_c$. Our combined renormalization group Monte-Carlo provide diagram which, besides conventional...

Topological charge pumping occurs in the adiabatic limit, and nonadiabatic effect due to finite driving velocity reduces efficiency leads deviation from quantized pumping. In this paper, we discuss relation between entanglement generation after a circle. simplest setting, show that purity $\mathcal{P}$ of half-system reduced density matrix is equal $\mathcal{R}$, defined as ${(1\ensuremath{-}\ensuremath{\kappa})}^{2}+{\ensuremath{\kappa}}^{2}$, where $\ensuremath{\kappa}$ denotes efficiency....

There has been an increasing research focus on quantum algorithms for condensed matter systems recently, with a particular emphasis calculating energy band structures. Here, we propose algorithm, the powered full eigensolver (P-FQE), by using power of operators eigensolver. This leads to exponential increase in success probability measuring target state certain circumstances where number generating elements involved exhibits log polynomial dependence orbitals. Furthermore, conduct numerical...

We apply a random-plaquette $J_1$-$J_2$ model on the square lattice to capture physics of series spin-$1/2$ Heisenberg antiferromagnet compounds Sr$_2$CuTe$_{1-x}$W$_x$O$_6$. With input experimentally relevant coupling strengths, our exact diagonalization (ED) study probes ground state properties beyond previous linear spin-wave approach. An intermediate range $x \in [0.08, 0.55]$ is identified for nonmagnetic phase without long-range N\'eel or stripe order. The absence both...

The exotic quantum states emerging in the quasicrystal (QC) have attracted extensive interest because of various properties absent crystal. In this paper, we systematically study Holstein model at half filling on a prototypical structure QC, namely rhombic Penrose lattice, aiming investigating superconductivity (SC) and other intertwined ordering arising from interplay between quasiperiodicity electron-phonon ({\it e}-ph) interaction. Through unbiased sign-problem-free determinant Monte...