Operator correlations in a quenched non-Hermitian Luttinger liquid
arXiv:2304.00881 · doi:10.1103/PhysRevB.108.085433
Abstract
We study operator correlations of a spinful Luttinger liquid after introducing a non-Hermitian interaction quench, yielding supersonic modes and dominant superconducting correlations as signatures of the non-unitary dynamics as well as spin-charge separation. A comparative analysis with the Hermitian counterpart, i.e, when the quench is Hermitian, shows a significant difference in the behavior of the model. We derive exact expressions for different operator correlations and show that the superconducting correlations decay slower than the charge and spin-density wave correlations, especially, within the short-time limit, and at the long-time limit all the operator correlations merge differed only by phase factors in the case of non-hermitian interaction quench whereas they do not merge in the case of Hermitian interaction quench. In both cases known Luttinger liquid universality is retained at the long time limit. We also analyze how the dynamics of operator correlations vary in the presence of anisotropy in the quenching parameters.
arXiv comment15 pages, comments welcome
References in corpus (49)
- Many-Body Physics with Ultracold Gases
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Making Sense of Non-Hermitian Hamiltonians
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Non-Hermitian Physics
- Symmetry and Topology in Non-Hermitian Physics
- One-Dimensional Fermi liquids
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Quantum trajectories and open many-body quantum systems
- Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
- The Luttinger model following a sudden interaction switch-on
- Quantum quench dynamics of the Luttinger model
- Quantum quench dynamics of some exactly solvable models in one dimension
- Parity-time-symmetric quantum critical phenomena
- Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
- Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
- Breakdown of quasilocality in long-range quantum lattice models
- Observation of non-Hermitian topological Anderson insulator in quantum dynamics
- Many-body topology of non-Hermitian systems
- Experimental Realization of Weyl Exceptional Rings in a Synthetic Three-Dimensional Non-Hermitian Phononic Crystal
- Dynamics of Ultracold Quantum Gases in the Dissipative Fermi-Hubbard Model
- Out-of-time-ordered density correlators in Luttinger liquids
- Helical Luttinger liquid in topological insulator nanowires
- Full-Counting Many-Particle Dynamics: Nonlocal and Chiral Propagation of Correlations
- Loschmidt echo and the many-body orthogonality catastrophe in a qubit-coupled Luttinger liquid
- Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain
- Kondo effect in a parity-time-symmetric non-Hermitian Hamiltonian
- Cooling of a one-dimensional Bose gas
- Crossover from adiabatic to sudden interaction quench in a Luttinger liquid
- Quantum Quenches in the Luttinger model and its close relatives
- Quantum quench in PT-symmetric Luttinger liquid
- Luttinger liquid properties of the steady state after a quantum quench
- Correlation dynamics during a slow interaction quench in a one-dimensional Bose gas
- Linear quantum quench in the Heisenberg XXZ chain: time dependent Luttinger model description of a lattice system
- Detecting superconductivity out-of-equilibrium
- Finite time interaction quench in a Luttinger model
- -symmetry from Lindblad dynamics in an optomechanical system
- Universal description of dissipative Tomonaga-Luttinger liquids with SU() spin symmetry: Exact spectrum and critical exponents
- Non-Hermitian many-body topological excitations in interacting quantum dots
- A dynamical theory for one-dimensional fermions with strong two-body losses: universal non-Hermitian Zeno physics and spin-charge separation
- Out of equilibrium density dynamics of a quenched fermionic system
- The spectral function of the Tomonaga-Luttinger model revisited: power laws and universality
- Photonic quantum simulations of coupled -symmetric Hamiltonians
- Electron pairing induced by repulsive interactions in tunable one-dimensional platforms
- Synthetic Helical Liquids with Ultracold Atoms in Optical Lattices
- Parity dependent Josephson current through a helical Luttinger liquid
- Simulating non-Hermitian dynamics of a multi-spin quantum system and an emergent central spin model
- Superconducting correlations out of repulsive interactions on a fractional quantum Hall edge
- Gate controlled Spin-Density Wave and Chiral FFLO Superconducting phases in interacting Quantum Spin Hall edge states