Non-reciprocal phase transitions

Abstract

Out of equilibrium, the lack of reciprocity is the rule rather than the exception. Non-reciprocal interactions occur, for instance, in networks of neurons, directional growth of interfaces, and synthetic active materials. While wave propagation in non-reciprocal media has recently been under intense study, less is known about the consequences of non-reciprocity on the collective behavior of many-body systems. Here, we show that non-reciprocity leads to time-dependent phases where spontaneously broken symmetries are dynamically restored. The resulting phase transitions are controlled by spectral singularities called exceptional points. We describe the emergence of these phases using insights from bifurcation theory and non-Hermitian quantum mechanics. Our approach captures non-reciprocal generalizations of three archetypal classes of self-organization out of equilibrium: synchronization, flocking and pattern formation. Collective phenomena in these non-reciprocal systems range from active time-(quasi)crystals to exceptional-point enforced pattern-formation and hysteresis. Our work paves the way towards a general theory of critical phenomena in non-reciprocal matter.

Supplementary movies at https://home.uchicago.edu/~vitelli/videos.html

References in corpus (129)

• Novel type of phase transition in a system of self-driven particles
• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Making Sense of Non-Hermitian Hamiltonians
• The World of the Complex Ginzburg-Landau Equation
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Flocks, herds, and schools: A quantitative theory of flocking
• Localization transitions in non-Hermitian quantum mechanics
• Topological Origin of Non-Hermitian Skin Effects
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Hierarchical group dynamics in pigeon flocks
• Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
• Emergence of macroscopic directed motion in populations of motile colloids
• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles
• Onset of collective and cohesive motion
• Quantum Time Crystals
• Observation of bulk boundary correspondence breakdown in topolectrical circuits
• Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum
• Anatomy of skin modes and topology in non-Hermitian systems
• Pseudo-Hermiticity versus PT-Symmetry III: Equivalence of pseudo-Her miticity and the presence of antilinear symmetries
• How far from equilibrium is active matter?
• What is Nonreciprocity?
• Solvable model for chimera states of coupled oscillators
• Colloquium: Criticality and dynamical scaling in living systems
• Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
• Dedalus: A Flexible Framework for Numerical Simulations with Spectral Methods
• Hybrid higher-order skin-topological modes in non-reciprocal systems
• Non-reciprocal robotic metamaterials
• Langevin Equation for the Density of a System of Interacting Langevin Processes
• Long Time Evolution of Phase Oscillator Systems
• Static non-reciprocity in mechanical metamaterials
• Boltzmann and hydrodynamic description for self-propelled particles
• Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
• Classical Time Crystals
• Oscillators that sync and swarm
• Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
• Exact Results for the Kuramoto Model with a Bimodal Frequency Distribution
• Dynamical Critical Phenomena in Driven-Dissipative Systems
• Odd viscosity in chiral active fluids
• Odd elasticity
• Chiral voltage propagation in a self-calibrated topolectrical Chern circuit
• Memory formation in matter
• Parity-time-symmetric quantum critical phenomena
• Partially integrable dynamics of hierarchical populations of coupled oscillators
• Self-assembly of catalytically active colloidal molecules: Tailoring activity through surface chemistry
• Pattern formation in self-propelled particles with density-dependent motility
• Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance
• Encircling an Exceptional Point
• Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
• Non-Hermitian Localization and Population Biology
• An introduction to the Ginzburg-Landau theory of phase transitions and nonequilibrium patterns
• The Rotating Vicsek Model: Pattern Formation and Enhanced Flocking in Chiral Active Matter
• Fluctuations and Pattern Formation in Self-Propelled Particles
• General description of quasi-adiabatic dynamical phenomena near exceptional points
• Topological waves in fluids with odd viscosity
• Observation of time quasicrystal and its transition to superfluid time crystal
• Phase oscillators with global sinusoidal coupling evolve by Mobius group action
• Active phase separation in mixtures of chemically interacting particles
• Scalar Active Mixtures: The Non-Reciprocal Cahn-Hilliard Model
• Large-scales patterns in a minimal cognitive flocking model: incidental leaders, nematic patterns, and aggregates
• Synchronization and Collective Dynamics in a Carpet of Microfluidic Rotors
• Geometric phase around exceptional points
• Non-Hermitian band topology and skin modes in active elastic media
• Counting rule for Nambu-Goldstone modes in nonrelativistic systems
• A classification scheme for chimera states
• Spatiotemporal order and emergent edge currents in active spinner materials
• Kinetic Theory of Flocking: Derivation of Hydrodynamic Equations
• Conformists and contrarians in a Kuramoto model with identical natural frequencies
• Weak-ergodicity breaking in mean-field spin-glass models
• Long-range nematic order and anomalous fluctuations in suspensions of swimming filamentous bacteria
• Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer
• Coupling of eigenvalues of complex matrices at diabolic and exceptional points
• Nonlinear reversal of PT symmetric phase transition in a system of coupled semiconductor micro-ring resonators
• Boltzmann-Ginzburg-Landau approach for continuous descriptions of generic Vicsek-like models
• Unraveling non-Hermitian pumping: emergent spectral singularities and anomalous responses
• Activity induced synchronization: From Mutual Flocking to Chiral Self-Sorting
• Dynamics and topology of non-Hermitian elastic lattices with non-local feedback control interactions
• Dynamics of noisy oscillator populations beyond the Ott-Antonsen ansatz
• Are Steadily Moving Crystals Unstable?
• PT symmetry and necessary and sufficient conditions for the reality of energy eigenvalues
• Nonnormal amplification in random balanced neuronal networks
• Non-Hermitian Localization in Biological Networks
• Non-Hermitian phase transition from a polariton Bose-Einstein condensate to a photon laser
• Emergent spatial structures in flocking models: a dynamical system insight
• Time crystals in periodically driven systems
• Time-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions
• Sounds and hydrodynamics of polar active fluids
• Pairing, waltzing and scattering of chemotactic active colloids
• Existence of hysteresis in the Kuramoto model with bimodal frequency distributions
• Critical fluctuations at a many-body exceptional point
• Counting Rules of Nambu-Goldstone Modes
• PT-symmetry breaking in the steady state of microscopic gain-loss systems
• Nonmutual torques and the unimportance of motility for long-range order in two-dimensional flocks
• Asymmetric exchange in flocks
• Giant amplification of noise in fluctuation-induced pattern formation
• Time crystal platform: from quasi-crystal structures in time to systems with exotic interactions
• Chimera states in two populations with heterogeneous phase-lag
• Parity-time symmetry breaking in magnetic systems
• Quantitative Assessment of the Toner and Tu Theory of Polar Flocks
• Strong Phase Separation in a Model of Sedimenting Lattices
• Collective Motion with Anticipation: Flocking, Spinning, and Swarming
• Non-Hermitian Topological Metamaterials with Odd Elasticity
• Kuramoto model for excitation-inhibition-based oscillations
• How many dissenters does it take to disorder a flock?
• Antipolar ordering of topological defects in active liquid crystals
• Realizing spin-Hamiltonians in nanoscale active photonic lattices
• Discovery of exceptional points in the Bose-Einstein condensation of gases with attractive 1/r-interaction
• Topological resilience in non-normal networked systems
• Hydrodynamic Interactions in Two Dimensions
• Unstable Avoided Crossing in Coupled Spinor Condensates
• Spontaneous symmetry breaking and Nambu-Goldstone modes in dissipative systems
• Bifurcations and exceptional points in dipolar Bose-Einstein condensates
• Chiral active hexatics: Giant number fluctuations, waves and destruction of order
• Synchronization scenarios in the Winfree model of coupled oscillators
• Parity-time symmetry-breaking mechanism of dynamic Mott transitions in dissipative systems
• First-order phase transitions in the Kuramoto model with compact bimodal frequency distributions
• Competition between Traveling Fluid Waves of Left and Right Spiral Vortices and Their Different Amplitude Combinations
• Understanding visual map formation through vortex dynamics of spin Hamiltonian models
• PT-symmetry and its spontaneous breakdown explained by anti-linearity
• Contrarian compulsions produce time dependent flocking of active particles
• Hohenberg-Mermin-Wagner type theorems for equilibrium models of flocking
• Driven Heisenberg Magnets: Nonequilibrium Criticality, Spatiotemporal Chaos and Control
• Landau Theory for Non-Equilibrium Steady States
• Non-normality and non-monotonic dynamics in complex reaction networks
• Temporal Modulation of Traveling Waves in the Flow Between Rotating Cylinders With Broken Azimuthal Symmetry
• Many-body exceptional points in colliding condensates
• Soft quantum vibrations of PT-symmetric nonlinear ion chain

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• Spontaneous vortex formation by microswimmers with retarded attractions
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• Does the brain behave like a (complex) network? I. Dynamics
• Quantum fluids of light in all-optical scatterer lattices
• Macroscopic Stochastic Thermodynamics
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• Soft Metamaterials: Adaptation and Intelligence
• The 2024 Motile Active Matter Roadmap
• Active Spaghetti: Collective Organization in Cyanobacteria
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• Perspective on Reversible to Irreversible Transitions in Periodic Driven Many Body Systems and Future Directions For Classical and Quantum Systems
• Self-organized swimming with odd elasticity
• Network structural origin of instabilities in large complex systems
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• Small Obstacle in a Large Polar Flock
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• Field-Effect Josephson Diode via Asymmetric Spin-Momentum-Locking States
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• Nonreciprocal interactions give rise to fast cilium synchronisation in finite systems
• Emergence of large-scale mechanical spiral waves in bacterial living matter
• Universal phenomenology at critical exceptional points of nonequilibrium $O(N)$ models
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• Inclusions, Boundaries and Disorder in Scalar Active Matter
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• Time-correlation functions for odd Langevin systems
• Rydberg platform for non-ergodic chiral quantum dynamics
• Defect Solutions of the Non-reciprocal Cahn-Hilliard Model: Spirals and Targets
• Dynamical phase transitions in the nonreciprocal Ising model
• Machine learning of phase transitions in nonlinear polariton lattices
• Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs
• Signatures of irreversibility in microscopic models of flocking
• Nonequilibrium Criticality at the Onset of Time-Crystalline Order
• Non-equilibrium phase transitions in coupled nonlinear optical resonators
• Spontaneous Demixing of Binary Colloidal Flocks
• Noisy Pursuit and Pattern Formation of Self-Steering Active Particles
• Topological Phase Transitions of Generalized Brillouin Zone
• Phase Coexistence Implications of Violating Newton's Third Law
• Degeneracies and symmetry breaking in pseudo-Hermitian matrices
• Statics and Dynamics of non-Hermitian Many-Body Localization
• Kibble-Zurek Mechanism for Nonequilibrium Phase Transitions in Driven Systems with Quenched Disorder
• Broken detailed balance and entropy production in directed networks
• Unsupervised Learning of Topological Non-Abelian Braiding in Non-Hermitian Bands
• Competition of non-Hermitian skin effect and topological localization of corner states observed in circuits
• Controlled asymmetric Ising model implemented with parametric micromechanical oscillators
• Field-Theory of Active Chiral Hard Disks: A First-Principles Approach to Steric Interactions
• Discontinuous phase transition from ferromagnetic to oscillating states in a nonequilibrium mean-field spin model
• Collective Flows Drive Cavitation in Spinner Monolayers
• Stationary broken parity states in active matter models
• Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system
• Onsager's variational principle for nonreciprocal systems with odd elasticity
• Nonreciprocity induces resonances in two-field Cahn-Hilliard model
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• Phase Coexistence in Nonreciprocal Quorum-Sensing Active Matter
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• Robustness of travelling states in generic non-reciprocal mixtures
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• Dissipative Pairing Interactions: Quantum Instabilities, Topological Light, and Volume-Law Entanglement
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• Feedback-stabilized dynamical steady states in the Bose-Hubbard model
• Nonreciprocal quantum phase transition in cavity magnonics
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• Observation of supersolid-like sound modes in a driven quantum gas
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• Emergent complex phases in a discrete flocking model with reciprocal and non-reciprocal interactions
• Traveling waves at the surface of active liquid crystals
• Dynamical structures in phase-separating non-reciprocal polar active mixtures
• Dynamically selected steady states and criticality in non-reciprocal networks
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