Comparing many-body localization lengths via nonperturbative construction of local integrals of motion

@article{Peng2019ComparingML,
  title={Comparing many-body localization lengths via nonperturbative construction of local integrals of motion},
  author={Pai Peng and Zeyang Li and Haoxiong Yan and Ken Xuan Wei and Paola Cappellaro},
  journal={Physical Review B},
  year={2019},
  volume={100},
  pages={214203}
}
Many-body localization (MBL), characterized by the absence of thermalization and the violation of conventional thermodynamics, has elicited much interest both as a fundamental physical phenomenon and for practical applications in quantum information. A phenomenological model, which describes the system using a complete set of local integrals of motion (LIOMs), provides a powerful tool to understand MBL, but can be usually only computed approximately. Here we explicitly compute a complete set of… 
7 Citations
Nonthermalized dynamics of flat-band many-body localization
We find that a flat-band fermion system with interactions and without disorders exhibits nonthermalized ergodicity-breaking dynamics, an analog of many-body localization (MBL). In the previous works
Quench dynamics of quasi-periodic systems exhibiting Rabi oscillations of two-level integrals of motion
The elusive nature of localized integrals of motion (or l-bits) in disordered quantum systems lies at the core of some of their most prominent features, i.e. emergent integrability and lack of
Numerical Evidence for Many-Body Localization in Two and Three Dimensions.
TLDR
An algorithm is developed that can find approximate binary ℓ bits in arbitrary dimensions by adaptively generating a basis of operators in which to represent the ™ bit and validates the evidence of MBL phenomenology in the other two- and three-dimensional models studied.
Dynamics and transport at the threshold of many-body localization
Many-body localized (MBL) systems do not approach thermal equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form distinct dynamical phases of matter, separated by
Atomic layer deposition of TaN thin film on Ti–6Al–4V dental implant for enhanced anti-corrosion and anti-bacterial properties
Abstract TaN thin film was deposited on a Ti–6Al–4V plate, a widely used material for the dental implant. The surface morphology and thickness of the TaN thin film were investigated by Scanning
Extracting many-body localization lengths with an imaginary vector potential
One challenge of studying the many-body localization transition is defining the length scale that diverges upon the transition to the ergodic phase. In this manuscript we explore the localization
Loschmidt echo singularities as dynamical signatures of strongly localized phases
Quantum localization (single-body or many-body) comes with the emergence of local conserved quantities—whose conservation is precisely at the heart of the absence of transport through the system. In

References

SHOWING 1-10 OF 11 REFERENCES
Exploring the many-body localization transition in two dimensions
TLDR
The observation of a many-body localization transition between thermal and localized phases for bosons in a two-dimensional disordered optical lattice is reported, highlighting the power of quantum simulation to solve problems that are currently inaccessible to classical computing techniques.
Integrals of motion in the many-body localized phase
Abstract We construct a complete set of quasi-local integrals of motion for the many-body localized phase of interacting fermions in a disordered potential. The integrals of motion can be chosen to
Many-body localization from the perspective of Integrals of Motion
We study many-body localization (MBL) from the perspective of integrals of motion (IOMs). MBL can be understood phenomenologically through the existence of macroscopically many localized IOMs. We
Out-of-time-order correlations in many-body localized and thermal phases
We use the out-of-time-order (OTO) correlators to study the slow dynamics in the many-body localized (MBL) phase. We investigate OTO correlators in the effective ("l-bit") model of the MBL phase, and
Many-body localization in a quantum simulator with programmable random disorder
Interacting quantum systems are expected to thermalize, but in some situations in the presence of disorder they can exist in localized states instead. This many-body localization is studied
Observation of many-body localization of interacting fermions in a quasirandom optical lattice
TLDR
This experiment experimentally observed this nonergodic evolution for interacting fermions in a one-dimensional quasirandom optical lattice and identified the MBL transition through the relaxation dynamics of an initially prepared charge density wave.
Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states
Abstract We consider low-temperature behavior of weakly interacting electrons in disordered conductors in the regime when all single-particle eigenstates are localized by the quenched disorder. We
Spectroscopic signatures of localization with interacting photons in superconducting qubits
TLDR
This work introduces a many-body spectroscopy technique based on a chain of superconducting qubits to study quantum phases of matter and introduces disorder to study the statistics of the energy levels of the system as it undergoes the transition from a thermalized to a localized phase.
On Many-Body Localization for Quantum Spin Chains
For a one-dimensional spin chain with random local interactions, we prove that many-body localization follows from a physically reasonable assumption that limits the amount of level attraction in the
  • 2010
...
1
2
...