Dissipation effects in random transverse-field Ising chains

Abstract

We study the effects of Ohmic, super-Ohmic, and sub-Ohmic dissipation on the zero-temperature quantum phase transition in the random transverse-field Ising chain by means of an (asymptotically exact) analytical strong-disorder renormalization-group approach. We find that Ohmic damping destabilizes the infinite-randomness critical point and the associated quantum Griffiths singularities of the dissipationless system. The quantum dynamics of large magnetic clusters freezes completely which destroys the sharp phase transition by smearing. The effects of sub-Ohmic dissipation are similar and also lead to a smeared transition. In contrast, super-Ohmic damping is an irrelevant perturbation; the critical behavior is thus identical to that of the dissipationless system. We discuss the resulting phase diagrams, the behavior of various observables, and the implications to higher dimensions and experiments.

18 pages, 3 figures; (v2) minor changes, published version

References in corpus (35)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Strong disorder RG approach of random systems
• Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model
• Infinite-randomness quantum Ising critical fixed points
• A Numerical Study of the Random Transverse-Field Ising Spin Chain
• Non-Fermi Liquid Behavior in U and Ce Alloys: Criticality, Disorder, Dissipation, and Griffiths-McCoy singularities
• Quantum Griffiths effects and smeared phase transitions in metals: theory and experiment
• Disorder-induced rounding of certain quantum phase transitions
• Kondo-Cluster-Glass State near a Ferromagnetic Quantum Phase Transition
• Quantum Griffiths Phase in the weak itinerant ferromagnetic alloy Ni${}_{1-x}$V${}_x$
• On the spin--boson model with a sub--Ohmic bath
• Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
• Quantum Griffiths effects in itinerant Heisenberg magnets
• Phase transition of one dimensional bosons with strong disorder
• Effects of dissipation on a quantum critical point with disorder
• Quantum Griffiths Singularities in the Transverse-Field Ising Spin Glass
• Infinite-randomness quantum critical points induced by dissipation
• Higher dimensional realizations of activated dynamic scaling at random quantum transitions
• Discovery of Griffiths phase in itinerant magnetic semiconductor Fe_{1-x}Co_xS_2
• Infinite disorder scaling of random quantum magnets in three and higher dimensions
• Theory of smeared quantum phase transitions
• Local Defect in Metallic Quantum Critical Systems
• On quantum Griffiths effects in metallic systems
• Smearing of the phase transition in Ising systems with planar defects
• Exact renormalization of the random transverse-field Ising spin chain in the strongly ordered and strongly disordered Griffiths phases
• Long-range order versus random-singlet phases in quantum antiferromagnetic systems with quenched disorder
• Strong Randomness Fixed Point in the Dissipative Random Transverse Field Ising Model
• Influence of rare regions on magnetic quantum phase transitions
• On the critical behavior of disordered quantum magnets: The relevance of rare regions
• Finite temperature behavior of strongly disordered quantum magnets coupled to a dissipative bath
• Percolation transition and dissipation in quantum Ising magnets
• Influence of superohmic dissipation on a disordered quantum critical point
• Composition-tuned smeared phase transitions
• Disorder correlations at smeared phase transitions

Cited by in corpus (17)

• Strong Disorder RG approach - a short review of recent developments
• Stretched exponential decay of Majorana edge modes in many-body localized Kitaev chains under dissipation
• Asymptotically exact theory for nonlinear spectroscopy of random quantum magnets
• The quantum phase transition and correlations in the multi-spin-boson model
• Boundary-driven Lindblad dynamics of random quantum spin chains : strong disorder approach for the relaxation, the steady state and the current
• Decoherence in the quantum Ising model with transverse dissipative interaction in the strong coupling regime
• Bath-engineering magnetic order in quantum spin chains: An analytic mapping approach
• Random free-fermion quantum spin chain with multi-spin interactions
• Real-Time Simulation of Open Quantum Spin Chains with Inchworm Method
• Critical properties of dissipative quantum spin systems in finite dimensions
• Dyson hierarchical quantum ferromagnetic Ising chain with pure or random transverse fields
• The dissipative phase transition in a pair of coupled noisy two-level systems
• Percolation transition in quantum Ising and rotor models with sub-Ohmic dissipation
• Novel Emergent Phases in a Two-Dimensional Superconductor
• Tunable phase transition in a dissipative two-spin system: A renormalization group study
• Measurement-Induced Phase Transition in a Disordered XX Spin Chain: A Real-Space Renormalization Group Study
• Smeared phase transition in the dissipative random quantum Ashkin-Teller model