Open Luttinger liquids

Abstract

We study the problem of Luttinger liquids interacting with an active environment. We are particularly interested in how dissipation affects the response and correlation functions of non-isolated Luttinger liquids. We show that the exchange of particles, energy, and momentum lead to changes in the exponents characterizing the various correlations functions. We discuss the importance of the zero mode physics in this context.

Revtex, 4 pages. Final version published in PRL

Cited by in corpus (36)

• A one-channel conductor in an ohmic environment: mapping to a TLL and full counting statistics
• Coulomb blockade of a noisy metallic box: A realization of Bose-Fermi Kondo models
• Dissipation-driven quantum phase transitions in a Tomonaga-Luttinger liquid electrostatically coupled to a metallic gate
• Anomalous charge tunneling in the fractional quantum Hall edge states at filling factor ν= 5/2
• Identifying a bath-induced Bose liquid in interacting spin-boson models
• Charged domain walls as quantum strings living on a lattice
• Environmental induced renormalization effects in quantum Hall edge states
• Dissipation-Induced Order: The $S=1/2$ Quantum Spin Chain Coupled to an Ohmic Bath
• Spectral noise for edge states at filling factor $\nu =5/2$
• Magnetic phases in the one-dimensional Kondo chain on a metallic surface
• Coulomb interactions and delocalization in quantum Hall constrictions
• Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems
• Luttinger liquid superlattices: realization of gapless insulating phases
• Equations of motion approach to decoherence and current noise in ballistic interferometers coupled to a quantum bath
• One-Dimensional Electron Liquid in an Antiferromagnetic Environment: Spin Gap from Magnetic Correlations
• Dissipation-induced phase transitions in superconducting wires
• Relaxation and dephasing in a many-fermion generalization of the Caldeira-Leggett model
• A many-fermion generalization of the Caldeira-Leggett model
• Transverse Quantum Fluids
• Microscopic study of the 2/5 fractional quantum Hall edge
• Chirally Stabilized Critical State in Marginally Coupled Spin and Doped Systems
• Phase coherence in one-dimensional superconductivity by power-law hopping
• Transport through constricted quantum Hall edge systems: beyond the quantum point contact
• Composite Pairings in Chirally Stabilized Critical Fluids
• Dissipative phase-fluctuations in superconducting wires capacitively coupled to diffusive metals
• A Luttinger Liquid coupled to Ohmic-class environments
• Critical phase induced by Berry phase and dissipation in a spin chain
• Dissipative Majorana quantum wires
• Luther-Emery Stripes, RVB Spin Liquid Background and High Tc Superconductivity
• Thermal radiation as a probe of one-dimensional electron liquids
• Easy-axis ferromagnetic chain on a metallic surface
• Pairing and Density Correlations of Stripe Electrons in a Two-Dimensional Antiferromagnet
• Decoherence of Schrodinger cat states in a Luttinger liquid
• Charge Fractionalization in a Mesoscopic Ring
• Quasiparticle agglomerates in Read-Rezayi and anti Read-Rezayi state
• Decoherence of fermions subject to a quantum bath