Free-Fermionic Topological Quantum Sensors
arXiv:2201.07102 · doi:10.1103/PhysRevLett.129.090503
Abstract
Second order quantum phase transitions, with well-known features such as long-range entanglement, symmetry breaking, and gap closing, exhibit quantum enhancement for sensing at criticality. However, it is unclear which of these features are responsible for this enhancement. To address this issue, we investigate phase transitions in free-fermionic topological systems that exhibit neither symmetry-breaking nor long-range entanglement. We analytically demonstrate that quantum enhanced sensing is possible using topological edge states near the phase boundary. Remarkably, such enhancement also endures for ground states of such models that are accessible in solid state experiments. We illustrate the results with 1D Su-Schrieffer-Heeger chain and a 2D Chern insulator which are both experimentally accessible. While neither symmetry-breaking nor long-range entanglement are essential, gap closing remains as the major candidate for the ultimate source of quantum enhanced sensing. In addition, we also provide a fixed and simple measurement strategy that achieves near-optimal precision for sensing using generic edge states irrespective of the parameter value. This paves the way for development of topological quantum sensors which are expected to also be robust against local perturbations.
arXiv comment6+6 pages, 2 figures (close to published version)
References in corpus (60)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Unpaired Majorana fermions in quantum wires
- Quantum sensing
- Topological Photonics
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Periodic table for topological insulators and superconductors
- Symmetry protected topological orders and the group cohomology of their symmetry group
- Direct Measurement of the Zak phase in Topological Bloch Bands
- Topological Bands for Ultracold Atoms
- Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Ground state overlap and quantum phase transitions
- The elusive Heisenberg limit in quantum enhanced metrology
- Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Fidelity approach to quantum phase transitions
- Experimental realization of a two-dimensional synthetic spin-orbit coupling in ultracold Fermi gases
- Non-Hermitian Topological Sensors
- Generalized Limits for Single-Parameter Quantum Estimation
- Quantum criticality as a resource for quantum estimation
- Synthetic dimensions and spin-orbit coupling with an optical clock transition
- Spin-orbit coupled fermions in an optical lattice clock
- Mixed-state fidelity and quantum criticality at finite temperature
- Fidelity susceptibility, scaling, and universality in quantum critical phenomena
- Dynamic framework for criticality-enhanced quantum sensing
- Quantum metrology for a general Hamiltonian parameter
- Efficient tools for quantum metrology with uncorrelated noise
- Optimal quantum estimation in spin systems at criticality
- Nonclassicality as a Quantifiable Resource for Quantum Metrology
- Experimental observation of a topological band gap opening in ultracold Fermi gases with two-dimensional spin-orbit coupling
- Geometrical engineering of a two-bands Chern insulator in two dimensions with arbitrary topological index
- At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited
- Multipartite entanglement in topological quantum phases
- Quantum Non-Hermitian Topological Sensors
- Stable macroscopic quantum superpositions
- Nonreciprocal response theory of nonhermitian mechanical metamaterials: response phase transition from the skin effect of zero modes
- Global sensing and its impact for quantum many-body probes with criticality
- A generalization of Bloch's theorem for arbitrary boundary conditions: Theory
- Entanglement-enhanced quantum metrology in a noisy environment
- Phase transitions in an Ising chain interacting with a single mode cavity field
- Characterization of topological states via dual multipartite entanglement
- Edge-state instabilities of bosons in a topological band
- Driving enhanced quantum sensing in partially accessible many-body systems
- Quantum metrology for the Ising Hamiltonian with transverse magnetic field
- Exact Solution of Quadratic Fermionic Hamiltonians for Arbitrary Boundary Conditions
- Fidelity, fidelity susceptibility and von Neumann entropy to characterize the phase diagram of an extended Harper model
- Quantum parameter estimation affected by unitary disturbance
- Bulk-boundary correspondence for disordered free-fermion topological phases
- Super-Heisenberg scaling in Hamiltonian parameter estimation in the long-range Kitaev chain
- Current fidelity susceptibility and conductivity in one-dimensional lattice models with open and periodic boundary conditions
- Generalization of Bloch's theorem for arbitrary boundary conditions: Interfaces and topological surface band structure
- Exact solution of corner-modified banded block-Toeplitz eigensystems
- Detecting topological edge states with the dynamics of a qubit
- Multipartite entanglement of the topologically ordered state in a perturbed toric code
- Revealing divergent length scales using quantum Fisher information in the Kitaev honeycomb model
- Detecting topological transitions in two dimensions by Hamiltonian evolution
- Resonant edge-site pumping of polaritonic Su-Schrieffer-Heeger lattices