Quantum phase transitions across p-wave Feshbach resonance

Abstract

We study a single-species polarized Fermi gas tuned across a narrow p-wave Feshbach resonance. We show that in the course of a BEC-BCS crossover the system can undergo a magnetic field-tuned quantum phase transition from a p_x-wave to a p_x+i p_y-wave superfluid. The latter state, that spontaneously breaks time-reversal symmetry, furthermore undergoes a topological p_x+ i p_y to p_x+ i p_y transition at zero chemical potential μ. In two-dimensions, for μ>0 it is characterized by a Pfaffian ground state exhibiting topological order and non-Abelian excitations familiar from fractional quantum Hall systems.

Fig. 1(a) changed to reflect a correction of a mistake in the previous version of the manuscript. We credit Chi-Ho Cheng and S.-K. Yip, cond-mat/0504278, for this correction (see Note Added for details)

References in corpus (4)

• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Fermion Superfluids of Non-Zero Orbital Angular Momentum near Resonance
• BCS-BEC crossover in a gas of Fermi atoms with a p-wave Feshbach resonance
• Quantum phase transition for the BEC--BCS crossover in condensed matter physics and CPT violation in elementary particle physics

Cited by in corpus (209)

• Topological Insulators
• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• New directions in the pursuit of Majorana fermions in solid state systems
• Theory of ultracold Fermi gases
• Majorana fermions in a tunable semiconductor device
• Majorana Fermion Induced Resonant Andreev Reflection
• Introduction to topological superconductivity and Majorana fermions
• Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• Efimov Physics: a review
• Resonantly-paired fermionic superfluids
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Thermodynamics of the BCS-BEC crossover
• Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $i{p}_y$ Superfluid of Fermionic Cold Atoms
• BCS-BEC Crossover and the Unitary Fermi Gas
• BCS-BEC Crossover and Topological Phase Transition in 3D Spin-Orbit Coupled Degenerate Fermi Gases
• Quantum phase transitions from topology in momentum space
• Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension
• p-Wave Interactions in Low-Dimensional Fermionic gases
• BEC-BCS crossover, phase transitions and phase separation in polarized resonantly-paired superfluids
• p-wave Feshbach molecules
• Optimal non-linear passage through a quantum critical point
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Edge states and tunneling of non-Abelian quasiparticles in the nu=5/2 quantum Hall state and p+ip superconductors
• Fluctuations and phase transitions in Larkin-Ovchinnikov liquid crystal states of population-imbalanced resonant Fermi gas
• Interferometry of non-Abelian Anyons
• Anisotropic Fermi Superfluid via p-wave Feshbach Resonance
• Collisional Properties of p-Wave Feshbach Molecules
• Quantum quench in a p + i p superfluid: Winding numbers and topological states far from equilibrium
• Zero modes of two-dimensional chiral p-wave superconductors
• Binding Energies of 6Li p-wave Feshbach Molecules
• Condensation of achiral simple currents in topological lattice models: a Hamiltonian study of topological symmetry breaking
• Evidence for universal relations describing a gas with $p$-wave interactions
• Three fully polarized fermions close to a p-wave Feshbach resonance
• Testable signatures of quantum non-locality in a two-dimensional chiral p-wave superconductor
• Quantum phase diagram of the integrable p_x+ip_y fermionic superfluid
• Observation of Fermi surface deformation in a dipolar quantum gas
• Quench-induced Floquet topological p-wave superfluids
• Stability of the fermionic gases close to a p-wave Feshbach resonance
• Dissipation-induced d-Wave Pairing of Fermionic Atoms in an Optical Lattice
• Causality and the effective range expansion
• Topological superfluid in a trapped two-dimensional polarized Fermi gas with spin-orbit coupling
• Role of the Majorana Fermion and the Edge Mode in Chiral Superfluidity near a p-Wave Feshbach Resonance
• Super Efimov effect of resonantly interacting fermions in two dimensions
• Evolution from BCS to BEC superfluidity in p-wave Fermi gases
• Evolution of density of states and spin-resolved "checkerboard" pattern associated with Majorana bound state
• Strongly-resonant p-wave superfluids
• Generalized Quantum Hall Projection Hamiltonians
• Quasi-one-dimensional Quantum Anomalous Hall Systems as New Platforms for Scalable Topological Quantum Computation
• Effective theory of chiral two-dimensional superfluids
• Fate of Majorana fermions and Chern numbers after a quantum quench
• Resonant Scattering of Ultracold Atoms in Low Dimensions
• Resources Required for Topological Quantum Factoring
• Higher-order topological superconductivity: possible realization in Fermi gases and Sr${}_2$RuO${}_4$
• Experimental Determination of p-wave Scattering Parameters in ultracold 6Li atoms
• Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian
• Topological degeneracy of non-Abelian states for dummies
• Universal 1+2-body bound states in planar atomic wave guides
• Stabilization of the p-wave superfluid state in an optical lattice
• Topological order in paired states of fermions in two-dimensions with breaking of parity and time-reversal symmetries
• Causality and universality in low-energy quantum scattering
• Realizing one-dimensional topological superfluids with ultracold atomic gases
• Vortex structures and zero energy states in the BCS-to-BEC evolution of p-wave resonant Fermi gases
• Observation of "broad" d-wave Feshbach resonances with a triplet structure
• Topological superconductivity in doped magnetic moiré semiconductors
• Renormalization in the Three-body Problem with Resonant P-wave Interactions
• Radio frequency spectroscopy of a strongly imbalanced Feshbach-resonant Fermi gas
• Induced p-wave superfluidity in two dimensions: Brane world in cold atoms and nonrelativistic defect CFTs
• Splitting and oscillation of Majorana zero modes in the p-wave BCS-BEC evolution with plural vortices
• Superfluidity of p-wave and s-wave atomic Fermi gases in optical lattices
• Confinement-induced p-wave resonances from s-wave interactions
• Robustness of Majorana Modes and Minigaps in a Spin-Orbit-Coupled Semiconductor-Superconductor Heterostructure
• Driven-dissipative many-body pairing states for cold fermionic atoms in an optical lattice
• Majorana fermions in spin-orbit coupled ferromagnetic Josephson junctions
• p-Wave Resonant Bose Gas: A Finite-Momentum Spinor Superfluid
• Scaling Law for Three-body Collisions in Identical Fermions with $p$-wave Interactions
• Two-body relaxation in a Fermi gas at a p-wave Feshbach resonance
• Tilting of the magnetic field in Majorana nanowires: critical angle and zero-energy differential conductance
• Peltier cooling of fermionic quantum gases
• Observation of unitary p-wave interactions between fermions in an optical lattice
• Fermi-to-Bose crossover in a trapped quasi-2D gas of fermionic atoms
• Creating and manipulating non-Abelian anyons in cold atom systems using auxiliary bosons
• Unitarity-limited behavior of three-body collisions in a p-wave interacting Fermi gas
• p-Wave superfluid and phase separation in atomic Bose-Fermi mixture
• Analytical solutions for two atoms in a harmonic trap: p-wave interactions
• Exact Solution for 1D Spin-Polarized Fermions with Resonant Interactions
• Observation of dipolar splittings in high-resolution atom-loss spectroscopy of ${}^6$Li $p$-wave Feshbach resonances
• Nonzero orbital angular momentum superfluidity in ultracold Fermi gases
• Post-quench dynamics and pre-thermalization in a resonant Bose gas
• Radiofrequency spectroscopy of ${}^6$Li p-wave molecules: towards photoemission spectroscopy of a p-wave superfluid
• Structure and consequences of vortex-core states in p-wave superfluids
• Novel $p$-wave superfluids of fermionic polar molecules
• Tuning between singlet, triplet, and mixed pairing states in an extended Hubbard chain
• Quantum liquid-crystal order in resonant atomic gases
• Stretching p-wave molecules by transverse confinements
• Predicted signatures of p-wave superfluid phases and Majorana zero modes of fermionic atoms in RF absorption
• Theory for p-Wave Feshbach Molecules
• The scattering amplitude of ultracold atoms near the p-wave magnetic Feshbach Resonance
• Quantitative analysis of $p$-wave three-body losses via cascade process
• P-wave superfluidity of atomic lattice fermions
• Majorana fermions in spin-singlet nodal superconductors with coexisting non-collinear magnetic order
• The p-wave polaron
• Exploring ultracold collisions in ${}^6$Li-${}^{53}$Cr Fermi mixtures: Feshbach resonances and scattering properties of a novel alkali-transition metal system
• High temperature thermodynamics of strongly interacting s-wave and p-wave Fermi gases in a harmonic trap
• Broad Feshbach resonances in ultracold alkali-metal systems
• Ultracold atom-molecule collisions with fermionic atoms
• Phase-tunable Majorana bound states in a topological N-SNS junction
• A quartet BCS-like theory
• Creation of p-wave Feshbach molecules in the selected angular momentum states using an optical lattice
• Noise signatures for determining chiral Majorana fermion modes
• Topological order, symmetry, and Hall response of two-dimensional spin-singlet superconductors
• p-Wave Optical Feshbach Resonances in Yb-171
• P-Wave Contact Tensor -- Universal Properties of Axisymmetry-Broken P-Wave Fermi Gases
• Excitation properties and effects of mass imbalance in the BCS-BEC crossover regime of an ultracold Fermi gas
• Emergent Josephson current of $N=1$ chiral topological superconductor in quantum anomalous Hall insulator/superconductor heterostructures
• Probing open- and closed-channel p-wave resonances
• Quantum phases of Fermi-Fermi mixtures in optical lattices
• The transport properties of Floquet topological superconductors at the transition from the topological phase to the Anderson localized phase
• Doubled Shapiro Steps in a Topological Josephson Junction
• Bell's inequality and universal quantum gates in a cold atom chiral fermionic p-wave superfluid
• Induced P-wave superfluidity within full energy-momentum dependent Eliashberg approximation in asymmetric dilute Fermi gases
• Triplet $p+ip$ paring correlation in doped Kane-Mele-Hubbard model: A quantum Monte Carlo study
• Hetero pairing and component-dependent pseudogap phenomena in an ultracold Fermi gas with mass imbalance
• Induced p-wave superfluidity in strongly interacting imbalanced Fermi gases
• Pairing Symmetry in the Anisotropic Fermi Superfluid under p-wave Feshbach Resonance
• Fermions in Deep Optical Lattice under p-wave Feshbach Resonance
• Synthesizing Majorana zero-energy modes in a periodically gated quantum wire
• Effective theory of vortices in two-dimensional spinless chiral $p$-wave superfluids
• Chiral $p\pm ip$ superfluid on a sphere
• A strongly interacting high partial wave Bose gas
• Fermion superfluid with hybridized $s$- and $p$-wave pairings
• Excitation picture of an interacting Bose gas
• Normal State Properties of a resonantly interacting p-wave Fermi Gas
• Many-body stabilization of a resonant p-wave Fermi gas in one dimension
• Unitary $p$-wave Fermi gas in one dimension
• Finite-momentum superfluidity and phase transitions in a p-wave resonant Bose gas
• Maxwell-Chern-Simons theory for curved spacetime backgrounds
• Bipartite Fluctuations and Topology of Dirac and Weyl Systems
• Type-I and type-II topological nodal superconductors with $s$-wave interaction
• An experimental proposal to observe non-abelian statistics of Majorana-Shockley fermions in an optical lattice
• Pairing fluctuations and anisotropic pseudogap phenomenon in an ultracold superfluid Fermi gas with plural $p$-wave superfluid phases
• Two-dimensional Fermi gases near a p-wave resonance: effect of quantum fluctuations
• Non-Hermitian topological Fermi superfluid near the $p$-wave unitary limit
• Universal Feature in Optical Control of a p-wave Feshbach Resonance
• BEC-BCS crossover in a p+ip-wave pairing Hamiltonian coupled to bosonic molecular pairs
• Impurity- and Magnetic-field-induced Quasiparticle States in Chiral $p$-wave Superconductors
• BCS-BEC quantum phase transition and collective excitations in two-dimensional Fermi gases with p- and d-wave pairings
• Trapped p-wave superfluids: a local density approach
• Proposed method to realize the $p$-wave superfluid state using a $s$-wave superfluid Fermi gas with a synthetic spin-orbit interaction
• Mobile magnetic impurities in a Fermi superfluid: a route to designer molecules
• Strong-Coupling and Finite Temperature Effects on $p$-wave Contacts
• Optical spin transport theory of spin-1/2 topological Fermi superfluids
• Thermal transitions, pseudogap behavior and BCS-BEC crossover in Fermi-Fermi mixtures
• Pairing Dynamics of Polar States in a Quenched p-wave Superfluid Fermi Gas
• Competition between pairing and tripling in one-dimensional fermions with coexistent s- and p-wave interactions
• Spontaneous mass current and textures of p-wave superfluids of trapped Fermionic atom gases at rest and under rotation
• Superconductivity in a Topological Lattice Model with Strong Repulsion
• Tunneling between a topological superconductor and a Luttinger liquid
• p-wave Pairing in Two-Component Fermi System with Unequal Population: Weak Coupling BCS to Strong Coupling BEC Regimes
• Vortices in p-Wave Superfluids of Trapped Fermionic Atom Gases
• Quantum fluctuations of a resonantly interacting $p$-wave Fermi superfluid in two dimensions
• P-wave Pairing in Two-Component Fermi Systems with Unequal Population near Feshbach Resonance
• Three-body universality in ultracold $p$-wave resonant mixtures
• Kosterlitz-Thouless transition and vortex-antivortex lattice melting in two-dimensional Fermi gases with $p$- or $d$-wave pairing
• Resonantly interacting $p$-wave Fermi superfluid in two dimensions: Tan's contact and breathing mode
• Stability of a Fully Polarized Ultracold Fermi Gas near Zero-Crossing of a p-wave Feshbach Resonance
• Superfluid properties of one-component Fermi gas with an anisotropic p-wave interaction
• Anomalous quantum mass flow of atoms in p-wave resonance
• Anomalous loss behavior in a single-component Fermi gas close to a $p$-Wave Feshbach resonance
• Collective P-Wave Orbital Dynamics of Ultracold Fermions
• Induced superfluidity of imbalanced Fermi gases near unitarity
• Matter-wave interference in s-wave and p-wave Fermi condensates
• Stability of the singular vortex and associated Majorana zero modes in trapped p-wave resonant superfluids of neutral cold atoms
• Exploring ${}^3{P}_0$ Superfluid in Dilute Spin-Polarized Neutron Matter
• A new strategy to microscopic modelling of topological entanglement in polymers based on field theory
• Dip-hump temperature dependence of Specific Heat and Effects of Pairing Fluctuations in the Weak-coupling Side of a $p$-wave Interacting Fermi Gas
• Singularities in the Loschmidt echo of quenched topological superconductors
• Fractionalization via ${\mathbb{Z}}_2$ Gauge Fields at a Cold Atom Quantum Hall Transition
• Non-Hermitian $p$-wave superfluid and effects of the inelastic three-body loss in a one-dimensional spin-polarized Fermi gas
• Pairing properties of an odd-frequency superfluid Fermi gas
• BCS and BEC p-wave pairing in Bose-Fermi gases
• Precision Measurement of Spin-Dependent Dipolar Splitting in ${}^6$Li p-Wave Feshbach Resonances
• Tricritical physics in two-dimensional $p$-wave superfluids
• Strong-coupling Properties of a $p$-wave Interacting Fermi Gas on the Viewpoint of Specific Heat at Constant Volume
• Non-Abelian Majorana fermions in topological $s$-wave Fermi superfluids
• Many-body dynamics of p-wave Feshbach molecule production: a mean-field approach
• Rashbon bound states associated with a spherical spin-orbit coupling in an ultracold Fermi gas with an $s$-wave interaction
• Chiral Majorana edge states in the vortex core of a $p+ip$ Fermi superfluid
• Topologically protected qubits as minimal Josephson junction arrays with non trivial boundary conditions: a proposal
• Weak three-dimensional mediators of two-dimensional triplet pairing
• A New Non-Abelian Topological Phase of Cold Fermi Gases in Anisotropic and Spin-Dependent Optical Lattices
• Radio-Frequency Spectroscopy and the Dimensional Crossover in Interacting Spin-Polarized Fermi Gases
• Specific Heat and Effects of Uniaxial Anisotropy of a $p$-wave Pairing Interaction in a Strongly Interacting Ultracold Fermi Gas
• Universal Bound States in Long-range Spin Chains with an Impurity
• Paired fermionic superfluids with s- and p-wave interactions
• Control of Majorana Edge Modes by a g-factor Engineered Nanowire Spin Transistor
• Phase diagram for the trapped p-wave fermionic superfluid with population imbalance
• Observation of high partial-wave Feshbach resonances in ${}^{39}$K Bose-Einstein condensates
• Mass-imbalance effect on the cluster formation in a one-dimensional Fermi gas with coexistent $s$- and $p$-wave interactions
• Elastic collision rates of spin-polarized fermions in two dimensions
• Spectrum of the Vortex Bound States of the Dirac and Schrodinger Hamiltonian in the presence of Superconducting Gaps
• The roton-assisted chiral p-wave superfluid in a quasi-two-dimensional dipolar Bose-Fermi quantum gas mixture
• Momentum space topology and quantum phase transitions
• Topological superfluid of spinless Fermi gases in p-band honeycomb optical lattices with on-site rotation
• s- and p-superfluidity of Fermi atoms in Bose-Fermi mixtures
• Electrical transport through a quantum dot side-coupled to a topological superconductor
• Shear Viscosity in the Strong Interaction Regime of a p-wave Superfluid Fermi Gas