Fidelity susceptibility of the quantum Ising model in the transverse field: The exact solution
arXiv:1212.1528 · doi:10.1103/PhysRevE.87.052131
Abstract
We derive an exact closed-form expression for fidelity susceptibility of the quantum Ising model in the transverse field. We also establish an exact one-to-one correspondence between fidelity susceptibility in the ferromagnetic and paramagnetic phases of this model. Elegant summation formulas are obtained as a by-product of these studies.
7 pages, 3 figures, minor changes, some references added
References in corpus (11)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition
- Optimal quantum estimation in spin systems at criticality
- Quantum Simulation of Spin Models on an Arbitrary Lattice with Trapped Ions
- Intrinsic geometry of quantum adiabatic evolution and quantum phase transitions
- Fidelity approach to quantum phase transitions: finite size scaling for quantum Ising model in a transverse field
- Structural transitions of ion strings in quantum potentials
- Quantum superpositions of crystalline structures
- Quantum fidelity for one-dimensional Dirac fermions and two-dimensional Kitaev model in the thermodynamic limit
Cited by in corpus (46)
- Quantum enhanced measurements without entanglement
- Geometry and non-adiabatic response in quantum and classical systems
- Adiabatic Perturbation Theory and Geometry of Periodically-Driven Systems
- At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited
- Coherent and dissipative dynamics at quantum phase transitions
- Exact results for fidelity susceptibility of the quantum Ising model: The interplay between parity, system size, and magnetic field
- Fidelity and criticality of quantum Ising chain with long-range interactions
- Fidelity Susceptibility Study of Quantum Long-Range Antiferromagnetic Ising Chain
- Driving enhanced quantum sensing in partially accessible many-body systems
- Work statistics across a quantum phase transition
- Entanglement in one-dimensional critical state after measurements
- Fidelity Susceptibility in One-dimensional Disordered Lattice Models
- Two-dimensional quantum-link lattice Quantum Electrodynamics at finite density
- Counterdiabatic driving of the quantum Ising model
- Biorthogonal quantum criticality in non-Hermitian many-body systems
- Critical quantum metrology assisted by real-time feedback control
- Ground-state fidelity at first-order quantum transitions
- Generalized fidelity susceptibility at phase transitions
- Fidelity Susceptibility in the Quantum Rabi Model
- Energy level dynamics across the many-body localization transition
- Ground-state properties of the one-dimensional transverse Ising model in a longitudinal magnetic field
- Spectral function and fidelity susceptibility in quantum critical phenomena
- Fidelity as a probe for a deconfined quantum critical point
- Quantum Critical Scaling under Periodic Driving
- Detecting out-of-time-order correlations via quasi-adiabatic echoes as a tool to reveal quantum coherence in equilibrium quantum phase transitions
- Fidelity susceptibility of the anisotropic model: The exact solution
- Phase transitions in the and U(1) clock models
- Numerical studies of ground state fidelity of the Bose-Hubbard model
- One and two-dimensional quantum models: quenches and the scaling of irreversible entropy
- Universal fidelity near quantum and topological phase transitions in finite 1D systems
- The three site interacting spin chain in staggered field: Fidelity vs Loschmidt echo
- Foundation Neural-Networks Quantum States as a Unified Ansatz for Multiple Hamiltonians
- Quantum distance and the Euler number index of the Bloch band in a 1D spin model
- Universal shift of the fidelity susceptibility peak away from the critical point of the Berezinskii-Kosterlitz-Thouless quantum phase transition
- Fidelity susceptibility and Loschmidt echo for generic paths in a three spin interacting transverse Ising model
- Fermionic Magic Resources of Quantum Many-Body Systems
- Linking Phase Transitions and Quantum Entanglement at Arbitrary Temperature
- Role of marginality in quantum fidelity and Loschmidt echo: Dirac points in 2-D
- Vanishing k-space fidelity and phase diagram's bulk-edge-bulk correspondence
- Topological Rice-Mele model in an emergent lattice: Exact diagonalization approach
- A universal black-box quantum Monte Carlo approach to quantum phase transitions
- A Quantum Fidelity Study of the Anisotropic Next-Nearest-Neighbour Triangular Lattice Heisenberg Model
- Deconfined quantum criticality of frustrated hard-core dipolar bosons
- Uhlmann Fidelity and Fidelity Susceptibility for Integrable Spin Chains at Finite Temperature: Exact Results
- Metric response of relative entropy: A universal indicator of quantum criticality
- The quantum Ising model: finite sums and hyperbolic functions