Publications (63)
Radiation matter entanglement
Israel Klich
The quantization of the electromagnetic field in the presence of material bodies, at zero temperature is considered. It is shown that a dielectric does not act as thermal bath for…
Fluctuations and Entanglement spectrum in quantum Hall states
Alexandru Petrescu, H. Francis Song, Stephan Rachel +6
The measurement of quantum entanglement in many-body systems remains challenging. One experimentally relevant fact about quantum entanglement is that in systems whose degrees of fr…
A non-perturbative expression for the transmission through a leaky chiral edge mode
Kun W. Kim, Israel Klich, Gil Refael
Chiral edge modes of topological insulators and Hall states exhibit non-trivial behavior of conductance in the presence of impurities or additional channels. We will present a simp…
Casimir forces in a T operator approach
Oded Kenneth, Israel Klich
We explore the scattering approach to Casimir forces. Our main tool is the description of Casimir energy in terms of transition operators, as presented in Kenneth and Klich, Phys.…
Entropy, gap and a multi-parameter deformation of the Fredkin spin chain
Zhao Zhang, Israel Klich
We introduce a multi-parameter deformation of the Fredkin spin chain whose ground state is a weighted superposition of Dyck paths, depending on a set of parameters alon…
Entanglement from Charge Statistics: Exact Relations for Many-Body Systems
H. Francis Song, Christian Flindt, Stephan Rachel +2
We present exact formulas for the entanglement and Rényi entropies generated at a quantum point contact (QPC) in terms of the statistics of charge fluctuations, which we illustrat…
Entanglement entropy of fermions in any dimension and the Widom conjecture
Dimitri Gioev, Israel Klich
We show that entanglement entropy of free fermions scales faster then area law, as opposed to the scaling for the harmonic lattice, for example. We also suggest and provi…
Measurement Induced Chirality II: Diffusion and Disorder
Brian J J Khor, Matthew Wampler, Gil Refael +1
Repeated quantum measurements can generate effective new non-equilibrium dynamics in matter. Here we combine such a measurement driven system with disorder. In particular, we inves…
Spatiotemporal graph states from a single optical parametric oscillator
Rongguo Yang, Jing Zhang, Israel Klich +2
An experimental scheme is proposed for building massively multipartite entangled states using both the spatial and the frequency modes of an optical parametric oscillator. We provi…
Lower entropy bounds and particle number fluctuations in a Fermi sea
Israel Klich
We demonstrate, in an elementary manner, that given a partition of the single particle Hilbert space into orthogonal subspaces, a Fermi sea may be factored into pairs of entangled…
Probing Competing and Intertwined Orders with Resonant Inelastic x-ray Scattering in the Hole-Doped Cuprates
David Benjamin, Israel Klich, Eugene Demler
We develop a formalism to study indirect resonant inelastic x-ray scattering (RIXS) in systems with itinerant electrons, accounting for the attraction between valence electrons and…
Hermitian and non-Hermitian thermal Hamiltonians
Adrian E. Feiguin, Israel Klich
Thermal density matrices can be described by a pure quantum state within the thermofield formalism. Here we show how to construct a class of Hamiltonians realizing a thermofield st…
Birman-Schwinger and the number of Andreev states in BCS superconductors
Israel Klich
The number of bound states due to inhomogeneities in a BCS superconductor is usually established either by variational means or via exact solutions of particularly simple, symmetri…
Fredholm determinants and the statistics of charge transport
Joseph E. Avron, Sven Bachmann, Gian Michele Graf +1
Using operator algebraic methods we show that the moment generating function of charge transport in a system with infinitely many non-interacting Fermions is given by a determinant…
Closed hierarchies and non-equilibirum steady states of driven systems
Israel Klich
We present a class of tractable non-equilibrium dynamical quantum systems which includes combinations of injection, detection and extraction of particles interspersed by unitary ev…
Aging, memory, and nonhierarchical energy landscape of spin jam
Anjana Samarakoon, Taku J. Sato, Tianran Chen +5
The notion of complex energy landscape underpins the intriguing dynamical behaviors in many complex systems ranging from polymers, to brain activity, to social networks and glass t…
Quantum Noise as an Entanglement Meter
Israel Klich, Leonid Levitov
Entanglement entropy, which is a measure of quantum correlations between separate parts of a many-body system, has emerged recently as a fundamental quantity in broad areas of theo…
Lieb-Robinson bounds for commutator-bounded operators
Isabeau Prémont-Schwarz, Alioscia Hamma, Israel Klich +1
We generalize the Lieb-Robinson theorem to systems whose Hamiltonian is the sum of local operators whose commutators are bounded.
Quantum-Annealing Enhanced Machine Learning for Interpretable Phase Classification of High-Entropy Alloys
Diego Ibarra Hoyos, Gia-Wei Chern, Israel Klich +1
High entropy alloys (HEAs) offer unprecedented compositional flexibility for designing advanced materials, yet predicting their crystallographic phases remains a key bottleneck due…
Photon Green's function and the Casimir energy in a medium
Israel Klich
A new expansion is established for the Green's function of the electromagnetic field in a medium with arbitrary and . The obtained Born series are shown to consist of two…
Entanglement Hamiltonians and entropy in 1+1D chiral fermion systems
Israel Klich, Diana Vaman, Gabriel Wong
In past work we introduced a method which allows for exact computations of entanglement Hamiltonians. The method relies on computing the resolvent for the projected (on the entangl…
Opposites Attract - A Theorem About The Casimir Force
Oded Kenneth, Israel Klich
We consider the Casimir interaction between (non-magnetic) dielectric bodies or conductors. Our main result is a proof that the Casimir force between two bodies related by reflecti…
Auxiliary fermion approach to the RIXS spectrum in a doped cuprate
Yifei Shi, Andrew James, Eugene Demler +1
We describe a method for calculating the resonant inelastic X-ray scattering (RIXS) response---including the dynamics of the transient core hole---of many-body systems with non-tri…
Effect of inhomogeneous coupling on superconductivity
Yue Zou, Israel Klich, Gil Refael
We investigate the influence of inhomogeneity in the pairing coupling constant on dirty BCS superconductors, focusing on , the order parameter , and th…
Freezing of a disorder induced quantum spin liquid
Xiao Hu, Daniel M. Pajerowski, Depei Zhang +8
is a square-lattice magnet with super-exchange between S=1/2 spins mediated by randomly distributed Te and W ions. Here, using sub-K…
Deformed Fredkin Spin Chain with Extensive Entanglement
Olof Salberger, Takuma Udagawa, Zhao Zhang +3
We introduce a new spin chain which is a deformation of the Fredkin spin chain and has a phase transition between bounded and extensive entanglement entropy scaling. In this chain,…
Full counting statistics and the Edgeworth series for matrix product states
Yifei Shi, Israel Klich
We consider full counting statistics of spin in matrix product states. In particular, we study the approach to gaussian distribution for magnetization. We derive the asymptotic cor…
On the entanglement of a quantum field with a dispersive medium
Israel Klich
In this Letter we study the entanglement of a quantum radiation field interacting with a dielectric medium. In particular, we describe the quantum mixed state of a field interactin…
Emergent geometry and path integral optimization for a Lifshitz action
Amr Ahmadain, Israel Klich
Extending the background metric optimization procedure for Euclidean path integrals of two-dimensional conformal field theories, introduced by Caputa et al. (Phys. Rev. Lett. 119,…
Entanglement Temperature and Entanglement Entropy of Excited States
Gabriel Wong, Israel Klich, Leopoldo A. Pando Zayas +1
We derive a general relation between the ground state entanglement Hamiltonian and the physical stress tensor within the path integral formalism. For spherical entangling surfaces…
Resonant inelastic x-ray scattering as a probe of band structure effects in cuprates
Márton Kanász-Nagy, Yifei Shi, Israel Klich +1
We analyze within quasi-particle theory a recent resonant inelastic x-ray scattering (RIXS) experiment on with the incoming photon energy detuned at sev…
Edge modes in band topological insulators
Lukasz Fidkowski, T. S. Jackson, Israel Klich
We characterize gapless edge modes in translation invariant topological insulators. We show that the edge mode spectrum is a continuous deformation of the spectrum of a certain glu…
Solution of the Metropolis dynamics on a complete graph with application to the Markov chain Mpemba effect
Israel Klich, Marija Vucelja
We find analytically the complete set of eigenvalues and eigenvectors associated with Metropolis dynamics on a complete graph. As an application, we use this information to study a…
On Factorizing Aggregate Counting Distributions into Independent Latent Processes
Israel Klich
The paper develops a mathematical framework for decomposing the distribution of an aggregate counting variable into independent latent counting processes by studying positive facto…
Stirring by Staring: Measurement Induced Chirality
Matthew Wampler, Brian J. J. Khor, Gil Refael +1
In quantum mechanics, the observer necessarily plays an active role in the dynamics of the system, making it difficult to probe a system without disturbing it. Here, we leverage th…
Arrested Development and Fragmentation in Strongly-Interacting Floquet Systems
Matthew Wampler, Israel Klich
We explore how interactions can facilitate classical like dynamics in models with sequentially activated hopping. Specifically, we add local and short range interaction terms to th…
A note on the Full Counting Statistics of paired fermions
Israel Klich
We study the trace of the exponentials of general fermion bi-linears, including pairing terms, and including non Hermitian forms. In particular, we give elementary derivations for…
Random walk with horizontal and cyclic currents
Joanna Li, Matthew Gerry, Israel Klich +1
We construct a minimal two-chain random walk model and study the information that fluctuations of the flux and higher cumulants can reveal about the model: its structure, parameter…
Towards measuring Entanglement Entropies in Many Body Systems
Israel Klich, Gil Refael, Alessandro Silva
We explore the relation between entanglement entropy of quantum many body systems and the distribution of corresponding, properly selected, observables. Such a relation is necessar…
Fragmentation and Novel Prethermal Dynamical Phases in Disordered, Strongly-Interacting Floquet Systems
Matthew Wampler, Israel Klich
We explore how disorder and interactions conspire in lattice models with sequentially activated hopping to produce novel k-body (or many-body) localized phases. Specifically, we sh…
Dispersion interaction between crossed conducting wires
John F. Dobson, Timothy Gould, Israel Klich
We compute the Van der Waals (nonretarded Casimir) interaction energy between two infinitely long, crossed conducting wires separated by a minimum distance much grea…
Coupled Fredkin and Motzkin chains from quantum six- and nineteen-vertex models
Zhao Zhang, Israel Klich
We generalize the area-law violating models of Fredkin and Motzkin spin chains into two dimensions by building quantum six- and nineteen-vertex models with correlated interactions.…
Quantum wakes in lattice fermions
Matthew Wampler, Peter Schauss, Eugene B Kolomeisky +1
The wake following a vessel in water is a signature interference effect of moving bodies, and, as described by Lord Kelvin, is contained within a constant universal angle. However,…
Quantum phase transition from bounded to extensive entanglement entropy in a frustration-free spin chain
Zhao Zhang, Amr Ahmadain, Israel Klich
We introduce a continuous family of frustration-free Hamiltonians with exactly solvable ground states. We prove that the {ground state of our model is non-degenerate and exhibits}…
From Quantum Annealing to Alloy Discovery: Towards Accelerated Design of High-Entropy Alloys
Diego Ibarra-Hoyos, Peter Connors, Ho Jang +6
Data scarcity remains a central challenge in materials discovery, where finding meaningful descriptors and tuning models for generalization is critical but inherently a discrete op…
Spin Jam: a quantum-fluctuation-induced glassy state of a frustrated magnet
Junjie Yang, Anjana Samarakoon, Sachith Dissanayake +8
Since the discovery of spin glasses in dilute magnetic systems, their study has been largely focused on understanding randomness and defects as the driving mechanism. The same para…
On the stability of topological phases on a lattice
Israel Klich
We study the stability of anyonic models on lattices to perturbations. We establish a cluster expansion for the energy of the perturbed models and use it to study the stability of…
Bipartite Fluctuations as a Probe of Many-Body Entanglement
H. Francis Song, Stephan Rachel, Christian Flindt +3
We investigate in detail the behavior of the bipartite fluctuations of particle number and spin in many-body quantum systems, focusing on systems where such U…
SWAP and Transpose by displacements, Stabilizer Renyi entropies for continuous variables and qudits and other applications
Israel Klich
In this note, I highlight a useful formula for the SWAP operator as an average of anti-correlated Heisenberg-Weyl displacements, valid for arbitrary-dimensional quantum systems. As…
Holographic rainbow networks for colorful Motzkin and Fredkin spin chains
Rafael N. Alexander, Amr Ahmadain, Zhao Zhang +1
We present bulk tensor networks that exactly represent the ground states of a continuous family of one-dimensional frustration-free Hamiltonians. These states, which are known as a…
The Mpemba index and anomalous relaxation
Israel Klich, Oren Raz, Ori Hirschberg +1
The Mpemba effect is a counter-intuitive relaxation phenomenon, where a system prepared at a hot temperature cools down faster than an identical system initiated at a cold temperat…
Superconducting pairing in resonant inelastic X-ray scattering
Yifei Shi, David Benjamin, Eugene Demler +1
We develop a method to study the effect of the superconducting transition on resonant inelastic X-ray scattering (RIXS) signal in superconductors with an order parameter with an ar…
Novel Mechanisms for repulsive Casimir forces
Oded Kenneth, Israel Klich
We present two novel models for repulsive Casimir interaction between positive perturbations. One example relies on non locality of the dielectric response and one relies on interf…
Confinement and Kink Entanglement Asymmetry on a Quantum Ising Chain
Brian J. J. Khor, D. M. Kürkçüoglu, T. J. Hobbs +2
In this work, we explore the interplay of confinement, string breaking and entanglement asymmetry on a 1D quantum Ising chain. We consider the evolution of an initial domain wall a…
Perturbative Contrastive Physical Learning
Kyungeun Kim, Amanuel Anteneh, Israel Klich +2
Responses to perturbations are key to understanding physical systems. The ability to contrast such responses by comparing how a system reacts under slightly different conditions pr…
Laser interferometry as a robust neuromorphic platform for machine learning
Amanuel Anteneh, Kyungeun Kim, J. M. Schwarz +2
We present a method for implementing an optical neural network using only linear optical resources, namely field displacement and interferometry applied to coherent states of light…
Many-Body Entanglement: a New Application of the Full Counting Statistics
Israel Klich, Leonid Levitov
Entanglement entropy is a measure of quantum correlations between separate parts of a many-body system, which plays an important role in many areas of physics. Here we review recen…
Entanglement Hamiltonians for chiral fermions with zero modes
Israel Klich, Diana Vaman, Gabriel Wong
In this Letter we study the effect of topological zero modes on entanglement Hamiltonians and entropy of free chiral fermion systems in (1+1)d. We show how Riemann-Hilbert solution…
Quasiparticle Theory of Resonant Inelastic X-ray Scattering in high-T cuprates
David Benjamin, Israel Klich, Eugene Demler
We develop a formalism for calculating resonant inelastic x-ray scattering (RIXS) spectra in systems of itinerant electrons with arbitrary band structures, accounting for the effec…
Exact holographic tensor networks for the Motzkin spin chain
Rafael N. Alexander, Glen Evenbly, Israel Klich
The study of low-dimensional quantum systems has proven to be a particularly fertile field for discovering novel types of quantum matter. When studied numerically, low-energy state…
Entanglement asymmetry and quantum Mpemba effect in the XY spin chain
Sara Murciano, Filiberto Ares, Israel Klich +1
Entanglement asymmetry is a quantity recently introduced to measure how much a symmetry is broken in a part of an extended quantum system. It has been employed to analyze the non-e…
Quantum lozenge tiling and entanglement phase transition
Zhao Zhang, Israel Klich
While volume violation of area law has been exhibited in several quantum spin chains, the construction of a corresponding ground state in higher dimensions, entangled in more than…
Regularized Casimir energy for an infinite dielectric cylinder subject to light-velocity conservation
Israel Klich, August Romeo
The Casimir energy of a dilute dielectric cylinder, with the same light-velocity as in its surrounding medium, is evaluated exactly to first order in and numerically to high…