Geometry of system-bath coupling and gauge fields in bosonic ladders: Manipulating currents and driving phase transitions

Guo, Chu; Poletti, Dario

doi:10.1103/physreva.94.033610

Cited by 20 publications

(10 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(53) Observe that the Chern-Simons effects give rise to the off-diagonal contribution contained by the Fourier sine transform term appearing in (53), as similarly occurs for extended Caldeira-Legget environments [54]. This term encodes all the thermal fluctuations emerging from the Chern-Simons electric fieldÊ CS acting upon the transversal spatial degrees of freedom.…”

Section: B Properties Of the Fluctuating Force And Retarded Self-energymentioning

confidence: 94%

“…Moreover, the second line in the frequency domain identically coincides with the fluctuations of an antisymmetric 1/f noise of power spectrum S(ω) = (iω) −1 . The latter may be realized by paying attention to (53): the hyperbolic cotangent renders an effective inverse scaling for the power spectrum of the transversal correlations, whereas the spectral density contributes with a constant factor owning to the form (75). Interestingly, 1/f power law is characteristic of the low-frequency magnetic flux noise in superconducting circuits [57,58], which suggests that the environmental noise acting upon transversal spatial degrees of freedom originates from the fluctuations of the Chern-Simons flux carried by the harmonic oscillators.…”

Section: Example: Markovian Langevin Dynamicsmentioning

confidence: 99%

“…Starting from first principles, we derive a low-lying Hamiltonian that provides a reliable and (numerically) solvable dissipative microscopic description within the Langevinequation framework [5,19,22]. Interestingly, the Chern-Simons effects give rise to a Lorentz-like fluctuating force which represents an alternative to the geometric magnetism [52] in the context of recently extended environments [53,54]. Unlike previous treatments, we show that the components of such Chern-Simons (electric) force are non-commutative owing to the "topological" nature of the underlying theory, and cause an (ordinary) Hall re-sponse of the system particles that recalls the dissipative Hofstadter model [55,56].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Quantum dissipation of planar harmonic systems: Maxwell-Chern-Simons theory

Valido¹

2019

Phys. Rev. D

View full text Add to dashboard Cite

Conventional Brownian motion in harmonic systems has provided a deep understanding of a great diversity of dissipative phenomena. We address a rather fundamental microscopic description for the (linear) dissipative dynamics of two-dimensional harmonic oscillators that contains the conventional Brownian motion as a particular instance. This description is derived from first principles in the framework of the so-called Maxwell-Chern-Simons electrodynamics, or also known, Abelian topological massive gauge theory. Disregarding backreaction effects and endowing the system Hamiltonian with a suitable renormalized potential interaction, the conceived description is equivalent to a minimal-coupling theory with a gauge field giving rise to a fluctuating force that mimics the Lorentz force induced by a particle-attached magnetic flux. We show that the underlying symmetry structure of the theory (i.e. time-reverse asymmetry and parity violation) yields an interacting vortex-like Brownian dynamics for the system particles. An explicit comparison to the conventional Brownian motion in the quantum Markovian limit reveals that the proposed description represents a second-order correction to the well-known damped harmonic oscillator, which manifests that there may be dissipative phenomena intrinsic to the dimensionality of the interesting system.

show abstract

Section: B Properties Of the Fluctuating Force And Retarded Self-energymentioning

confidence: 94%

Section: Example: Markovian Langevin Dynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Quantum dissipation of planar harmonic systems: Maxwell-Chern-Simons theory

Valido¹

2019

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…This exotic edge current, which has also been observed in other 2D models [28] (see Refs. [29][30][31] for quasi-one-dimensional studies), is robustly protected by symmetry properties with respect to the presence of point-like defects, and remains stable for a wide range of reservoir coupling strengths [28]. Such crosscurrents were first thought to be an intrinsically onedimensional phenomenon.…”

Section: Introductionmentioning

confidence: 99%

Robust nonequilibrium surface currents in the 3D Hofstadter model

Mitchison¹,

Rivas²,

Martín-Delgado³

2022

Preprint

View full text Add to dashboard Cite

Genuinely two-dimensional robust crosscurrents -which flow against the natural direction of heat fluxhave been missing since the discovery of their one-dimensional counterpart. We provide a setup to realize them on a cubic three-dimensional (3D) lattice hosting a Hofstadter model coupled to two heat baths with different temperatures. We show that these currents exhibit dissipative robustness: they are stable against the presence of impurities and tilting of the gauge field in certain nonequilibrium configurations. Moreover, we find protected boundary currents with genuinely 3D robustness, i.e. they are only stable if tunnelling can occur in all three spatial directions. The model also presents generic surface currents, which are robust for both bosonic and fermionic systems. We identify the underlying qualitative mechanism responsible for the robustness of the surface currents and the crucial role played by certain discrete symmetries.

show abstract

“…Hence, there are four qualitatively different energy spectrum structures in which the system can be tuned to. The influence of the energy spectrum on the transport properties of this bosonic ladder have been studied in [25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Heat, particle, and chiral currents in a boundary driven bosonic ladder in the presence of a gauge field

Xing

Balachandran

et al. 2020

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

We consider a bosonic two-legged ladder whose two-band energy spectrum can be tuned in the presence of a uniform gauge field, to four distinct scenarios: degenerate or non-degenerate ground states with gapped or gapless energy bands. We couple the ladder to two baths at different temperatures and chemical potentials and analyze the efficiency and power generated in the linear as well as nonlinear response regime. Our results, obtained with the Green's function method, show that the maximum performance efficiency and generated power are strongly dependent on the type of the underlying energy spectrum. We also show that the ideal scenario for efficient energy conversion, as well as power generation, corresponds to the case in which the spectrum has a gap between the bands, and the bands are narrower.

show abstract

Geometry of system-bath coupling and gauge fields in bosonic ladders: Manipulating currents and driving phase transitions

Cited by 20 publications

References 39 publications

Quantum dissipation of planar harmonic systems: Maxwell-Chern-Simons theory

Quantum dissipation of planar harmonic systems: Maxwell-Chern-Simons theory

Robust nonequilibrium surface currents in the 3D Hofstadter model

Heat, particle, and chiral currents in a boundary driven bosonic ladder in the presence of a gauge field

Contact Info

Product

Resources

About