Rectification in nonequilibrium steady states of open many-body systems

@article{Yamamoto2020RectificationIN,
  title={Rectification in nonequilibrium steady states of open many-body systems},
  author={Kazuki Yamamoto and Yuto Ashida and Norio Kawakami},
  journal={arXiv: Quantum Gases},
  year={2020}
}
We study how translationally invariant couplings of many-body systems and nonequilibrium baths can be used to rectify particle currents. We propose novel setups to realize bath-induced currents in nonequilibrium steady states of one-dimensional open fermionic systems. We first analyze dissipative dynamics associated with a nonreciprocal Lindblad operator and identify a class of Lindblad operators that are sufficient to acquire a nonreciprocal current. Remarkably, we show that rectification can… 

Figures from this paper

Giant rectification in strongly-interacting boundary-driven tilted systems

Correlated quantum systems feature a wide range of nontrivial effects emerging from interactions between their constituting particles. In nonequilibrium scenarios, these manifest in phenomena such as

Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain

We demonstrate the universal properties of dissipative Tomonaga-Luttinger (TL) liquids by calculating correlation functions and performing finite-size scaling analysis of a non-Hermitian XXZ spin

Constructing k-local parent Lindbladians for matrix product density operators

Matrix product density operators (MPDOs) are an important class of states with interesting properties. Consequently, it is important to understand how to prepare these states experimentally. One

Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck's high-frequency expansion approach

Nonequilibrium steady states (NESSs) in periodically driven dissipative quantum systems are vital in Floquet engineering. We develop a general theory for high-frequency drives with Lindblad-type

Constructing Integrable Lindblad Superoperators.

A new method is developed for the construction of one-dimensional integrable Lindblad systems, which describe quantum many body models in contact with a Markovian environment and establishes a structured approach to the study of solvable open quantum systems.

Collective Excitations and Nonequilibrium Phase Transition in Dissipative Fermionic Superfluids.

It is demonstrated that when dissipation is introduced to one of the two superfluids coupled via a Josephson junction, it gives rise to a nonequilibrium dynamical phase transition characterized by the vanishing dc Josephson current.

Non-Hermitian physics

A review is given on the foundations and applications of non-Hermitian classical and quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra, including Jordan normal

References

SHOWING 1-10 OF 114 REFERENCES

General description for nonequilibrium steady states in periodically driven dissipative quantum systems

A generic solution for nonequilibrium steady states in periodically driven (Floquet) quantum systems by focusing on systems under high-frequency drive and time-independent Lindblad-type dissipation is derived.

Nonreciprocal Landau–Zener tunneling

Application of strong dc electric field to an insulator leads to quantum tunneling of electrons from the valence band to the conduction band, which is a famous nonlinear response known as

Rectification in Nonequilibrium Parity Violating Metamaterials

Uncovering new mechanisms for rectification of stochastic fluctuations has been a longstanding problem in non-equilibrium statistical mechanics. Here, using a model parity violating metamaterial that

Thermal rectification in classical and quantum systems: Searching for efficient thermal diodes

This mini-review addresses a bedrock problem for the advance of phononics: the building of feasible and efficient thermal diodes. We revisit investigations in classical and quantum systems. For the

Anomalous decay of coherence in a dissipative many-body system

Decoherence plays a major role in our current understanding of the conceptual foundations of quantum physics 1 . In many instances, decoherence is also a threat that must be countered (for instance,

Quantum current in dissipative systems

Describing current in open quantum systems can be problematic due to the subtle interplay of quantum coherence and environmental noise. Probing the noise-induced current can be detrimental to the

Bulk rectification effect in a polar semiconductor

Electrical rectification is usually achieved by layering p-type and n-type materials, but experiments now demonstrate rectification in a bulk polar semiconductor that has inversion-symmetry breaking

Many-particle physics

1. Introductory Material.- 1.1. Harmonic Oscillators and Phonons.- 1.2. Second Quantization for Particles.- 1.3. Electron - Phonon Interactions.- A. Interaction Hamiltonian.- B. Localized Electron.-

Boundary conditions for open quantum systems driven far from equilibrium

This is a study of simple kinetic models of open systems, in the sense of systems that can exchange conserved particles with their environment. The system is assumed to be one dimensional and

I and i

There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
...