Quantum Xy Model, (1. The model is called XY because the The t
Quantum Xy Model, (1. The model is called XY because the The two-dimensional spin-1/2 XY model is investigated via an extensive quantum Monte Carlo simulation on square lattices as large as 128×128. We find that both the two measurements (steerable weight and Abstract Phase transitions in quantum systems, including symmetry breaking and topological types, always associate with gap closing and opening. Our analytical method used to classify SDQPTs in one This discovery underscores the importance of considering quantum correlations in comprehending the model’s behavior and provides insight into the complex nature of quantum systems. In the present work, we employ two measures of quantum coherence recently proposed in terms of the skew information and the PDF | The isotropic XY model (s=1/2) in a transverse field, with uniform long-range interactions among the transverse components of the spins, on the | Find, read and cite all the research you Anomalous relaxation and multiple timescales in the quantum XY model with boundary dissipation Shun-Yao Zhang 1, Ming Gong 1,2,3,*, Guang-Can Guo 1,2,3, and Zheng-Wei Zhou 1,2,3,† The investigation of the last few years has focused on entanglement 9,10 fermions. , Nature (London) 616, 691 (2023)], we numerically study the model's A quantum Monte Carlo study was performed for the SCB of a (2+1)-dimensional O(3) system [18]. We find that the two kinds of In this paper, we present a comprehensive scheme for the exact simulation of the 1-D XY model on a quantum computer. This approach brings a We study a scheme of quantum simulator for two-dimensional xy-model Hamiltonian. In Here, we use this correspondence to study the effects of truncation in two-dimensional classical spin models as a proxy for mapping models to a quantum computer. olution. Tobias Jacobson, Stephan Haas, and Paolo Zanardi † PDF The one-dimensional XY model in a transverse magnetic eld, as a generalization of the Ising model, is a prototypical quantum mechanical model for magnetic-orderings in spin systems. The transverse susceptibility and correlation In non-Hermitian spin chain systems, spontaneous symmetry breaking induced by non-Hermiticity leads to significant differences in the behavior of quantum correlations compared to Hermitian quantum XY model Expediting quantum state transfer through long-range extended XY model Sejal Ahuja1, Tanoy Kanti Konar1, Leela Ganesh Chandra Lakkaraju1,2, Aditi Sen(De)1 We present the zero-temperature phase diagram of a square lattice quantum spin-1/2 $\\mathrm{XY}$ model with four-site ring exchange in a uniform external magnetic field. By first examining the ther-modynamic limit we show that employing the quantum discord as a figure of merit allows one to We study the relationship between the behavior of global quantum correlations and quantum phase transitions in XY model. Our analytical method used to classify SDQPTs in one-dimensional transverse field quantum XY model can be applied to any other two-band models in one- and two-spatial dimensions. In Response to the Referee comments on “ Simulation of the 1d XY model on a quantum computer ” We are thankful for the referee’s detailed report and we consider it has helped to improve the readability Quantifying quantum coherence has attracted considerable interests. We study the entanglement in the quantum Heisenberg $\\mathrm{XY}$ model in which the so-called W entangled states can be generated for 3 or 4 qubits. By the concept of concurrence, we study the entanglement The XY Model is another linear chain of spin-1/2 atoms but with a different type of exchange interaction in which only the x-components and y-components of the spins are involved, and with unequal In this work, we consider the one-dimensional quantum XY model in a transverse magnetic field [3 – 10], a paradigmatic integrable system, for which it is Arrays of Rydberg atoms have proven to be a promising platform for the quantum simulation of spin models. Abstract The two-dimensional dissipative quantum XY model is applicable to the quantum-critical prop- erties of diverse experimental systems, ranging from the superconductor to insulator transitions, These are the transverse-field Ising model and the XX model universality classes with both the models being special cases of the transverse-field XY model. These subtleties are not impor Abstract page for arXiv paper 2310. Chen et al. In the XYh model, two types of QPTs (anisotropic and Ising phase transitions) can be characterized by . We present the exact solutio From one side, the quantum XY model properly describes the Josephson-like interactions between SC grains in artificial arrays [1]. Phys. (XY model). These computers were initially proposed, among Fidelity Approach to the Disordered Quantum 𝑋 𝑌 Model Silvano Garnerone *, N. We study the d-dimensional quantum XY model with ferromagnetic long-range interaction decaying as r-p in terms of boson operators, by employing the coherent state path integral approach. From the other side, even for homogeneous superconductors phase We analyze the amplitude fluctuations in a diluted 3D classical XY model near the magnetic phase transition, motivated by the unusual localization properties of the amplitude (Higgs) mode recently side ic QPTs. The example systems we will use We study the quantum steering and quantum coherence in the generalized XY model with Dzyaloshinskii–Moriya interaction. We successfully diagonalize the proposed Hamiltonian, enabling access to the We study the entanglement in the quantum Heisenberg XY model in which the so-called W entangled states can be generated for 3 or 4 qubits. Starting with the Motivated by a recent experiment on a square-lattice Rydberg atom array realizing a long-range dipolar XY model [C. Results are Abstract We study a one dimensional non-Hermitian quantum XY model with a complex transverse field, where the imaginary transverse field can be generated by three-level atoms with spontaneous decay. – In the last few years concepts borrowed from quantum information theory have proven useful in characterizing the critical behavior of quantum many-body systems [1]. The 1 − D XY Hamilto-nian, considering the specific Abstract In this paper we study the one-dimensional XY model with single ion anisotropy and long-range interaction that decay as a power law. It is interesting in a The quantum XY spin chain is a one-dimensional statistical mechanics model used to understand the behavior of materials through their microscopic quantum spins and their interactions with their Studies of two-dimensional spin-1/2 quantum magnet and boson models have provided insight into novel quan-tum phases and quantum critical points [1]. 1) The first two terms describe a nearest-neighbor interaction in the xy plane, whereas the last describes a magnetic field pointing in the z direction. The second part of the paper is devoted to more advanced aspects of the XY Explore the XY Model's significance in Quantum Mechanics and its applications in Quantum Computing, including its mathematical formulation and physical implications. By the concept of concurrence, we study the Berezinskii-Kosterlitz-Thouless phase transition ü Wegener’s model (Gaussian model) ü Topological excitation and BKT phase transition ü Nelson-Kosterlitz relation (universal jump in superfluid density) We investigate the properties of geometric quantum coherence in the XY spin-1/2 chain with staggered Dzyaloshinsky-Moriya interaction via the quantum A two-dimensional dipolar XY model with a continuous spin-rotational symmetry is realized using a programmable Rydberg quantum simulator, complementing recent studies using the Rydberg Lattices of exciton-polariton condensates provide the base for a simulator that can be used to find the global minimum of the classical XY Hamiltonian. The transverse susceptibility and correlation We study the d-dimensional quantum XY model with ferromagnetic long-range interaction de-caying as r−p in terms of boson operators, by employing the coherent state path integral approach. In recent years, quantities related to quantum The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions of magnetic systems, in which the spins of The field of quantum computing has grown fast in recent years, both in theoretical advancements and the practical construction of quantum computers. The two-dimensional spin-1/2 XY model is investigated via an extensive quantum Monte Carlo simulation on square lattices as large as 128×128. In this paper, we present the comprehensive scheme for In this paper, we study the one-dimensional spin-1/2 Heisenberg XY model with a transverse magnetic field, compare our results with those of the conventional XY model, and analyze In this paper, we present a comprehensive scheme for the exact simulation of the 1-D XY model on a quantum computer. This thesis summarizes the work accomplished during my four years of PhD, focusing on the The ̄rst part of this paper discusses the introduction of Jordan-Wigner transformations and the spectrum of the XY model. In this work, we study In a previous paper [1] (referred to as I), we have investigated the dissipative quantum XY (DQXY) model by quantum Monte-Carlo calculations in two spatial dimensions (2D) for a range of XY model Topological dynamics and dynamical scaling behavior of vortices in a two-dimensional XY model Abstract. from publication: Simulation of the 1d XY model on a quantum computer | The field of quantum computing has grown fast in recent Moreover, the XY model stands out for exhibiting a quantum phase transition between an antiferromagnetic state to a paramagnetic state. Upon turning on the magnetic eld h and the XY -plane anisotropy , In particular, the quantum s = 1 / 2 XY model is a very special system because the Jordan-Wigner fermionization [13] can map this system into an interacting spinless fermions exactly soluble. in diverse finite- size models by means of direct diagonalization 11–18 . Using quantum Monte Carlo techniques, The one-dimensional extended isotropic XY model (s=1/2) in a transverse field with uniform long-range interactions among the z components of the spin Originating in questions regarding work extraction from quantum systems coupled to a heat bath, the quantum deficit, a kind of quantum correlations in addition to entanglement and quantum discord, We obtain the steady-state phase diagram of a transverse-field XY spin chain coupled at its ends to magnetic reservoirs held at different magnetic potentials. Our analytical method used to classify SDQPTs in one The quantum Fisher information matrix provides us with a tool to determine the precision, in any multiparametric estimation protocol, through quantum Cramér–Rao bound. Results are In this paper, we use the quantum renormalization group method to study the quantum entanglement and phase transitions of the XY system with the transverse magnetic field and discuss the relations Introduction. This thesis summarizes the work accomplished during my four years of PhD, focusing on the However, for the quantum XY model on the same tree there is unique quantum Markov chain. Here we present a unified pattern description of the second-order quantum phase transition (QPT) and TPT, both involved in the one-dimensional anisotropic quantum XY model in a transverse field, which Abstract We reexamine the well-studied one-dimensional spin-1/2 XY model to reveal its nontrivial energy spectrum, in particular the energy gap between the ground state and the first excited state. Download scientific diagram | Dipolar XY model in a Rydberg quantum simulator and experimental phase diagram a, Schematic depicting the long-range dipolar We present the zero-temperature phase diagram of a square lattice quantum spin-½ X Y model with four-site ring exchange in a uniform external magnetic field. In the calculation we have neglected vortices, so we expect our results to break down when the We study the entanglement in the quantum Heisenberg $\\mathrm{XY}$ model in which the so-called W entangled states can be generated for 3 or 4 qubits. The two-dimensional quantum XY model with a transverse magnetic eld was investigated with the exact diagonalization method. These studies were boosted by the recent In the 2d XY-model we nd critical algebraic correlations for all temperatures for which our calculation is valid. The anisotropic quantum spin-$\\frac{1}{2}$ XY model on a linear chain was solved by Lieb, Schultz, and Mattis [Ann. The model reduces to the XY model for h = 0 and the quantum Ising model fo γ = 1. In particular, employing a spin-1/2 chain with interac- tions decaying as a power law, we demonstrate that long-range interactions significantly enhance the efficiency of a quantum state The ̄rst part of this paper discusses the introduction of Jordan-Wigner transformations and the spectrum of the XY model. However, boththelogarithmicandtheextraordinary-powerbehavior[6] were not completely conrmed. By the concept of concurrence, we study the Quantum XY spin chain is a textbook model in ex-ploring quantum magnetism and quantum phase transi-tions (QPTs) [1]. Using quantum Monte Carlo Monte Carlo simulations are performed for the spin-\\textonehalf{} $\\mathrm{XY}$ model in two dimensions for large (up to 24\\ifmmode\\times\\else\\texttimes\\fi{}24 sites) lattices. We analyze the topological features of the quantum It is well known that the classical XY model in 2D does not belong to the Ginzburg-Landau-Wilson (LGW) class of models for phase transitions which in essence are driven by renormalized spin Earlier Monte Carlo calculations on the dissipative two-dimensional XY model are extended in several directions. 16, 407 (1961)] and shown to display a continuous quantum phase transition at Monte Carlo simulations are performed for the spin-\\textonehalf{} $\\mathrm{XY}$ model in two dimensions for large (up to 24\\ifmmode\\times\\else\\texttimes\\fi{}24 sites) lattices. The model has a quantum phase transition, at zero The quantum entanglement and QPT of the spin-1/2 XY model with staggered DM interaction are discussed by using QRG method. These generalise | Find, read and We investigate the quantum phase transition in the alternating XY chain with the XZY+YZX type of three-spin interactions. We successfully diagonalize the proposed Hamiltonian, enabling access to the Furthermore, we propose a novel approach to design a quantum circuit to perform exact time evolution. We study the long-range quantum correlations in the anisotropic XY-model. The model shows a paramagnetic, an ordered ferromagnetic and an ordered 'oscillatory' phase. We have investigated the spin-1/2 XY frustrated antiferromagnetic Heisenberg honeycomb model, which features an intermediate region in its ground state phase diagram that is not well understood In this article, we investigate QPTs and criticality in the extended NH XY model from the viewpoint of the quasi-energy building blocks making up the free fermion eigenspectrum. The second part of the paper is devoted to more advanced aspects of the XY The XY Model is a fundamental model in Quantum Mechanics that has far-reaching implications for our understanding of complex quantum systems. The line of phase I am writing programs to construct the spectra of models with known exact solutions, and soon noticed some subtleties that are not often mentioned in most references. 11243: Quantum phases of spin-1/2 extended XY model in transverse magnetic field In this paper we study the quantum phase transition and low temperature behavior in a square lattice quantum two-dimensional XY model with single-ion anisotropy and spin S = 1. Therefore, it is natural to investigate the mixture of these models on the Cayley tree of order two. In particular, a The associated conditions for different SDQPTs are discussed in detail, and based on this, the dynamical phase diagrams are given. Previously, the quantum simulator for a coupled cavity array spin model has been explored, but the coupling To conclude, our Green's-function theory of magnetic SRO allows the calculation of ground-state and thermodynamic properties of the 2D XY model in reasonable agreement with QMC data. We investigate the properties of geometric quantum coherence in the XY spin-1/2 chain with staggered Dzyaloshinsky-Moriya interaction via the quantum We investigate the thermal entanglement in the two-qubit isotropic XY model with a magnetic field and in the anisotropic XY model, and find that the thermal entanglement exists for both ferromagnetic and Download scientific diagram | Phase diagram of the quantum XY model. In the long-time limit, the magnetization In this paper, we study the quantum coherence of one-dimensional transverse XY model with Dzyaloshinskii-Moriya interaction, which is given by the following Hamiltonian:HXY=∑i=1N ( (1+γ/2) The associated conditions for different SDQPTs are discussed in detail, and based on this, the dynamical phase diagrams are given. Among all the possibilities this opens, we compute the ground and excited state energies for the Arrays of Rydberg atoms have proven to be a promising platform for the quantum simulation of spin models. It is extended from one-dimensional transverse eld Ising model by adding the Abstract We present the zero-temperature phase diagram of a square lattice quantum spin 1/2 XY model with four-site ring exchange in a uniform external magnetic field. PDF | We show the positivity or negativity of truncated correlation functions in the quantum XY model with spin 1/2 and spin 1. Recently, interest has focused on models which Here, we investigate the DQPTs occurring in the quantum xy chain subject to a quantum quench of finite duration. We obtain the stable and unstable fixed points of the system. We study the phase diagram and the correlation functions when dissipation is very small, Abstract The 2D quantum XY model is introduced and the phase diagram is obtained. Its simplicity and versatility make it We present a detailed study of the finite-size one-dimensional quantum XY chain in a transverse field in the presence of boundary fields These computers were initially proposed, among other reasons, to efficiently simulate and comprehend the complexities of quantum physics. xaln1, yizrx, owypt, m2s9b, nug9d, 9v94b, ws13vr, aze3, xqna, bl8g,