Matrix Product State and Quantum Phase Transitions in the One-Dimensional Extended Quantum Compass Model

Abstract

The matrix product state (MPS) is utilized to study the ground state properties and quantum phase transitions (QPTs) of the one-dimensional quantum compass model (QCM). The MPS wavefunctions are argued to be very efficient descriptions of QCM ground states, and are numerically determined by imaginary time projections. The ground state energy, correlations, quantum entanglement and its spectrum, local and nonlocal order parameters, etc., are calculated and studied in details. It is revealed that the bipartite and block entanglement entropies, as well as the nearest neighbor correlation functions can be used to detect the second-order QPTs, but not the first-order ones, while fidelity detections can recognize both. The entanglement spectrum is extracted from the MPS wavefunction, and found to be doubly degenerate in disordered phases of QCM, where non-local string order parameters exist. Moreover, with linearized tensor renormalization group method, the specific heat curves are evaluated and their low temperature behaviors are investigated.

12 pages, 19 figures

References in corpus (15)

• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• The iTEBD algorithm beyond unitary evolution
• Entanglement versus Correlations in Spin Systems
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Linearized Tensor Renormalization Group Algorithm for Thermodynamics of Quantum Lattice Models
• First order phase transition in the anisotropic quantum orbital compass model
• Fidelity approach to quantum phase transitions: finite size scaling for quantum Ising model in a transverse field
• Monte Carlo simulations of the directional-ordering transition in the two-dimensional classical and quantum compass model
• Nature of the Quantum Phase Transition in Quantum Compass Model
• Multicriticality and entanglement in the one-dimensional quantum compass model
• Topologically decoherence-protected qubits with trapped ions
• Fidelity susceptibility in the two-dimensional spin-orbit models
• Quantum phase transition in the one-dimensional period-two and uniform compass model
• Quantum Correlation in One-dimensional Extend Quantum Compass Model

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• Quantum phase transitions in spin-1 XXZ chains with rhombic single-ion anisotropy
• Kosterlitz-Thouless phase transition and reentrance in an anisotropic 3-state Potts model on the generalized Kagome lattice
• Quantum phase transitions in the spin-1 Kitaev-Heisenberg chain
• Conformal Thermal Tensor Network and Universal Entropy on Topological Manifolds
• Spin dynamics of the generalized quantum spin compass chain
• Quantum phase transitions and string orders in the spin-1/2 Heisenberg-Ising alternating chain with Dzyaloshinskii-Moriya interaction
• From fidelity to entanglement of entropy of the one-dimensional transverse-field quantum compass model
• Entanglement entropy and fidelity susceptibility in the one-dimensional spin-1 XXZ chains with alternating single-site anisotropy
• Quantum phase transitions in spin-1 compass chains
• Quantum phase transitions of a generalized compass chain with staggered Dzyaloshinskii-Moriya interaction
• Logarithmic negativity of the 1D antiferromagnetic spin-1 Heisenberg model with single-ion anisotropy
• One-dimensional frustrated plaquette compass model: Nematic phase and spontaneous multimerization