A powerful numerical algorithm is used to characterize the emergence of many-body localization in long-range interacting systems. The interplay between disorder and power-law interactions is analyzed, confirming the existence of a transition from a thermal phase to a localized one.
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Mar 15, 2019· A powerful numerical algorithm is used to characterize the emergence of many-body localization in long-range interacting systems. The interplay between disorder and power-law interactions is analyzed, confirming the existence of a transition from a thermal phase to a
Mar 12, 2018· We study spectral and wavefunction statistics for many-body localization transition in systems with long-range interactions decaying as $1/r^α$ with an exponent $α$ satisfying $ d le...
Nov 28, 2022· We derive exact results for the fluctuations in energy produced by microscopic disorder in near-crystalline athermal systems. Our formalism captures the heterogeneity in the elastic energy of polydisperse soft disks in energy-minimized configurations. We use this to predict the distribution of interaction energy between two defects in a disordered background.
Mar 16, 2024· In this letter, we use recent results in the physics of disordered systems [15, 16] to show that May''s argument itself is incomplete: in random dynamical systems, stability does not necessarily decrease with dimensionality and interaction strength—the opposite behavior is also possible, without the need for special or additional structure.
single-particle models with power-law hopping, 1=ra. Forrandomly spaced particles, these models present an effective peculiar disorder that leads to surprising localization properties. We show that in one-dimensional systems almost all eigenstates (exceptfor a few states close to the ground state) are power-law localized for any value of a>0.
Jul 3, 2024· lic phases the interactions operate through the RKKY mechanism, following a power-law decay described by J(r) ∝r−d, where drepresents the dimension of the host system. Interestingly, sufficiently random, power-law in-teracting systems can even feature ultra-slow relaxation known from classical spin glasses as observed in local
Apr 2, 2020· Disorder in quantum systems can lead to the disruption of long-range order in the ground state and to the localization of the elementary excitations. Here we exhibit an alternative paradigm, by which disorder preserves long-range order in the ground state, while it localizes the elementary excitations above it, introducing a stark dichotomy between static properties--
Jan 30, 2019· This emergent "light cone" has important consequences for the behavior of many-body interacting systems such as the area law of entanglement 5,6, the decay of correlations 7 and stability of
Nov 2, 2023· By investigating nonequilibrium dynamics in strongly disordered D = 2 electron systems with power-law interactions ∝ 1/ rα and poor coupling to a thermal bath, here we
Mar 19, 2024· We have used the protocol described in Ref. Zaletel et al. to simulate the time evolution with power-law interactions efficiently. We consider two distinct models - the
May 17, 2018· Locality imposes stringent constraints on the spreading of information in nonrelativistic quantum systems, which is reminiscent of a "light-cone," a casual structure arising in their relativistic counterparts. Long-range interactions can potentially soften such constraints, allowing almost instantaneous long jumps of particles, thus defying causality. Since
Oct 23, 2018· We analyze the effects of disorder on the correlation functions of one-dimensional quantum models of fermions and spins with long-range interactions that decay with distance $ell$ as a power-law
Nov 4, 2021· We derive exact results for the fluctuations in energy produced by microscopic disorder in near-crystalline athermal systems. Our formalism captures the heterogeneity in the elastic energy of polydispersed soft disks in energy-minimized configurations. We use this to predict the distribution of interaction energy between two defects in a disordered background.
Jul 16, 2018· Motivated by neutral excitations in disordered electronic materials and systems of trapped ultracold particles with long-range interactions, we study energy-level statistics of quasiparticles with the power-law hopping Hamiltonian ∝ 1 / r α in a strong random potential. In solid-state systems such quasiparticles, which are exemplified by
Strongly Disordered 2D Electron Systems Disorder + interactions: Can localization survive? Anderson localization Single particle Many-body localization (MBL) [Figs. fromAbanin et al., Rev. Mod. Phys. 91, 021001 (2019)] • Power-law interactions • Nonequilibrium dynamics?
Dec 1, 2020· Entanglement measures are useful tools in characterizing otherwise unknown quantum phases and indicating transitions between them. Here we examine the concurrence and entanglement entropy in quantum spin chains with random long-range couplings, spatially decaying with a power-law exponent α ing the strong disorder renormalization group
Although MBL is mainly studied in the disordered systems as it roots on the non-ergodicity of the well-known disorder-induced Anderson localization for non-iteracting particles [22,23], disorder-free MBL and other ing power-law interactions between particles in nature, and the experimental developments simulating long-range interactions, in
Jun 8, 2018· The combination of hopping and induced Ising interactions for the power-law distance dependent hopping V(R)R-α always leads to the localization breakdown in a thermodynamic limit of an infinite
However, there are various many-body phenomena that are being investigated in driven and dissipative regimes. They include Floquet dynamics 85, the emerging topic of time crystals 86, 87, quantum synchronization 57, 88, 89, 90, self-organization 91, 92, 93, 94 and dynamical phase transitions 86, 95, 96.
Mar 15, 2019· We use extensive numerical simulations based on matrix product state methods to study the quantum dynamics of spin chains with strong on-site disorder and power-law
Sep 3, 2024· Self-propelled particles display unique collective phenomena, due to the intrinsic coupling of density and polarity. For instance, the giant number fluctuation appears in the orientationally ordered state, and the motility-induced phase separation appears in systems with repulsion. Effects of strong noise typically lead to a homogeneous disordered state, in which
Motivated by neutral excitations in disordered electronic materials and systems of trapped ultracold particles with long-range interactions, we study energy-level statistics of
By investigating nonequilibrium dynamics in strongly disordered D = 2 electron systems with power-law interactions ∝ 1/ rα and poor coupling to a thermal bath, here we observe MBL-like, prethermal dynamics for α = 3. In contrast, for α = 1, the system thermalizes, although the dynamics is glassy.
Aug 28, 2023· The exponential decay of the couplings is not able to induce an effective higher dimensionality of the system as it occurs in the presence of power-law decaying interactions .
Jun 8, 2018· We use extensive numerical simulations based on matrix product state methods to study the quantum dynamics of spin chains with strong on-site disorder and power-law decaying ($1/r^α$) interactions. We focus on two spin-$1/2$ Hamiltonians featuring power-law interactions: Heisenberg and XY and characterize their corresponding long-time dynamics using three
Mar 15, 2019· We focus on two spin-1=2 Hamiltonians featuring power-law interactions: Heisenberg and XY and characterize their corresponding long-time dynamics using three
Therefore, we have determined that the interaction range has a striking effect on the dynamics, although the equilibrium behavior of the 2DES is not affected. Studies of atoms in 2D optical lattices 11, 14 reported evidence of MBL-like dynamics by tracking the evolution of the local density with time.
Oct 22, 2019· We analyze the effects of disorder on the correlation functions of one-dimensional quantum models of fermions and spins with long-range interactions that decay with distance
Although the possibility of many-body localization and MBL-like behavior in systems with power-law interactions has been explored in many theoretical studies, the case with D < α < 2 D has been under debate (see, e.g., refs. 18, 19, 20, 21, 22, 23, 24, 25, 26, 27).
Aug 5, 2024· An important step towards a comprehensive understanding of far-from-equilibrium dynamics of quantum many-body systems is the identification of unifying features that are independent of microscopic details of the system. We experimentally observe such robust features in the magnetization relaxation dynamics of disordered Heisenberg XX, XXZ, and
Aug 28, 2019· They have led to the conjecture that fundamental bounds on quantum information spreading do exist for systems with generic interactions (for example, interactions that decay
Oct 28, 2014· By investigating nonequilibrium dynamics in strongly disordered D = 2 electron systems with power-law interactions ∝ 1/rα and poor coupling to a thermal bath, here we observe MBL-like
This is in stark contrast to both conventional ergodic systems and disordered systems with short-range hopping, where disorder can arrest dynamics, resulting in the breakdown of where a combination of power-law interactions, dimensionality, and 2. disorder govern the microscopic dynamics ( 1,13,14 ). Such systems have long been explored
Mar 12, 2018· A number of experimental platforms for quantum simulations of disordered quantum matter, from dipolar systems to trapped ions, involve degrees of freedom which are coupled by power-law decaying
Abstract. The transport of excitations between pinned particles in many physical systems may be mapped to single-particle models with power-law hopping, 1 / r a 1 superscript 𝑟 𝑎 1/r^{a} 1 / italic_r start_POSTSUPERSCRIPT italic_a end_POSTSUPERSCRIPT.For randomly spaced particles, these models present an effective peculiar disorder that leads to surprising localization
Jul 19, 2019· Motivated by neutral excitations in disordered electronic materials and systems of trapped ultracold particles with long-range interactions, we study energy-level statistics of quasiparticles with
Nov 18, 2019· Many-body localisation is studied in a disordered quantum spin-1/2 chain with long-ranged power-law interactions, and distinct power-law exponents for interactions between longitudinal and transverse Expand
Stochastic many-body systems, including active matter models, are generically mapped to and can be analyzed as non-Hermitian quantum systems [25, 26, 27].A prototypical example is the correspondence between the asymmetric simple exclusion process and the XXZ quantum spin chain [28, 29, 30, 31].More recently, extensive studies on non-Hermitian systems [] have
Mar 4, 2023· The non-equilibrium dynamics of disordered many-body quantum systems after a global quantum quench unveils important insights about the competition between interactions and disorder, yielding in
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