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Title: Complex Density Wave Orders and Quantum Phase Transitions in a Model of Square-Lattice Rydberg Atom Arrays

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Physical Review Letters
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[Journal Name: Physical Review Letters Journal Volume: 124 Journal Issue: 10]; Journal ID: ISSN 0031-9007
American Physical Society
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United States

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Samajdar, Rhine, Ho, Wen Wei, Pichler, Hannes, Lukin, Mikhail D., and Sachdev, Subir. Complex Density Wave Orders and Quantum Phase Transitions in a Model of Square-Lattice Rydberg Atom Arrays. United States: N. p., 2020. Web. doi:10.1103/PhysRevLett.124.103601.
Samajdar, Rhine, Ho, Wen Wei, Pichler, Hannes, Lukin, Mikhail D., & Sachdev, Subir. Complex Density Wave Orders and Quantum Phase Transitions in a Model of Square-Lattice Rydberg Atom Arrays. United States. doi:10.1103/PhysRevLett.124.103601.
Samajdar, Rhine, Ho, Wen Wei, Pichler, Hannes, Lukin, Mikhail D., and Sachdev, Subir. Tue . "Complex Density Wave Orders and Quantum Phase Transitions in a Model of Square-Lattice Rydberg Atom Arrays". United States. doi:10.1103/PhysRevLett.124.103601.
title = {Complex Density Wave Orders and Quantum Phase Transitions in a Model of Square-Lattice Rydberg Atom Arrays},
author = {Samajdar, Rhine and Ho, Wen Wei and Pichler, Hannes and Lukin, Mikhail D. and Sachdev, Subir},
abstractNote = {},
doi = {10.1103/PhysRevLett.124.103601},
journal = {Physical Review Letters},
number = [10],
volume = [124],
place = {United States},
year = {2020},
month = {3}

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Works referenced in this record:

Sorting ultracold atoms in a three-dimensional optical lattice in a realization of Maxwell’s demon
journal, September 2018

Two-dimensional packing problems: A survey
journal, September 2002

  • Lodi, Andrea; Martello, Silvano; Monaci, Michele
  • European Journal of Operational Research, Vol. 141, Issue 2
  • DOI: 10.1016/S0377-2217(02)00123-6

Trapped-ion quantum computing: Progress and challenges
journal, June 2019

  • Bruzewicz, Colin D.; Chiaverini, John; McConnell, Robert
  • Applied Physics Reviews, Vol. 6, Issue 2
  • DOI: 10.1063/1.5088164

Gradient optimization of finite projected entangled pair states
journal, May 2017

Phase Separation in Supersolids
journal, February 2000

Physical Realizations of n >~ 4 Vector Models
journal, February 1975

Many-body physics with ultracold gases
journal, July 2008

  • Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm
  • Reviews of Modern Physics, Vol. 80, Issue 3
  • DOI: 10.1103/RevModPhys.80.885

Two-dimensional crystals of Rydberg excitations in a resonantly driven lattice gas
journal, October 2013

Two-dimensional Rydberg Gases and the Quantum Hard-Squares Model
journal, August 2011

Cosmological experiments in condensed matter systems
journal, November 1996

Studying Two-Dimensional Systems with the Density Matrix Renormalization Group
journal, March 2012

A measure of data collapse for scaling
journal, August 2001

  • Bhattacharjee, Somendra M.; Seno, Flavio
  • Journal of Physics A: Mathematical and General, Vol. 34, Issue 33
  • DOI: 10.1088/0305-4470/34/33/302

Critical exponents for a three-dimensional O( n )-symmetric model with n >3
journal, March 1995

Critical Exponents of the Quantum Phase Transition in a Planar Antiferromagnet
journal, October 1997

  • Troyer, Matthias; Imada, Masatoshi; Ueda, Kazuo
  • Journal of the Physical Society of Japan, Vol. 66, Issue 10
  • DOI: 10.1143/JPSJ.66.2957

A Rydberg quantum simulator
journal, March 2010

  • Weimer, Hendrik; Müller, Markus; Lesanovsky, Igor
  • Nature Physics, Vol. 6, Issue 5
  • DOI: 10.1038/nphys1614

Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet
journal, April 2011

epsilon -expansion analysis of some physically realizable n⩾4 vector models
journal, November 1975

Creation of collective many-body states and single photons from two-dimensional Rydberg lattice gases
journal, September 2011

  • Laycock, T.; Olmos, B.; Lesanovsky, I.
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 44, Issue 18
  • DOI: 10.1088/0953-4075/44/18/184017

Density-matrix algorithms for quantum renormalization groups
journal, October 1993

Renormalization-group analysis of chiral transitions
journal, September 1988

Neél Order in Square and Triangular Lattice Heisenberg Models
journal, September 2007

Quantum phase transitions in the two-dimensional hardcore boson model
journal, December 2001

Quantum phase transition of ultracold bosons in the presence of a non-Abelian synthetic gauge field
journal, November 2011

Dependence of Critical Properties on Dimensionality of Spins
journal, March 1968

Quantum field theory for the chiral clock transition in one spatial dimension
journal, November 2018

Mott insulators in strong electric fields
journal, August 2002

Density matrix formulation for quantum renormalization groups
journal, November 1992

Tunable two-dimensional arrays of single Rydberg atoms for realizing quantum Ising models
journal, June 2016

  • Labuhn, Henning; Barredo, Daniel; Ravets, Sylvain
  • Nature, Vol. 534, Issue 7609
  • DOI: 10.1038/nature18274

Putting competing orders in their place near the Mott transition
journal, April 2005

Finite-size behavior of the Ising square lattice
journal, April 1976

Atom-by-atom assembly of defect-free one-dimensional cold atom arrays
journal, November 2016

Observation of spatially ordered structures in a two-dimensional Rydberg gas
journal, October 2012

  • Schauß, Peter; Cheneau, Marc; Endres, Manuel
  • Nature, Vol. 491, Issue 7422
  • DOI: 10.1038/nature11596

A coherent quantum annealer with Rydberg atoms
journal, June 2017

  • Glaetzle, A. W.; van Bijnen, R. M. W.; Zoller, P.
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms15813

Competing density-wave orders in a one-dimensional hard-boson model
journal, February 2004

Hard-Core Bosons on a Two-Dimensional Square Optical Superlattice
journal, March 2015

The density-matrix renormalization group: a short introduction
journal, July 2011

  • Schollwöck, Ulrich
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 369, Issue 1946
  • DOI: 10.1098/rsta.2010.0382

Observing the Space- and Time-Dependent Growth of Correlations in Dynamically Tuned Synthetic Ising Models with Antiferromagnetic Interactions
journal, June 2018

  • Lienhard, Vincent; de Léséleuc, Sylvain; Barredo, Daniel
  • Physical Review X, Vol. 8, Issue 2
  • DOI: 10.1103/PhysRevX.8.021070

Probing many-body dynamics on a 51-atom quantum simulator
journal, November 2017

  • Bernien, Hannes; Schwartz, Sylvain; Keesling, Alexander
  • Nature, Vol. 551, Issue 7682
  • DOI: 10.1038/nature24622

Coherent and dissipative dynamics of entangled few-body systems of Rydberg atoms
journal, April 2019

Cosmological experiments in superfluid helium?
journal, October 1985

Gray-Molasses Optical-Tweezer Loading: Controlling Collisions for Scaling Atom-Array Assembly
journal, March 2019

Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$ c -Minimization and Precise Critical Exponents
journal, June 2014

  • El-Showk, Sheer; Paulos, Miguel F.; Poland, David
  • Journal of Statistical Physics, Vol. 157, Issue 4-5
  • DOI: 10.1007/s10955-014-1042-7

Checkerboard patterns in the t J model
journal, December 2004

Phases of lattice hard-core bosons in a periodic superlattice
journal, June 2010

The density-matrix renormalization group in the age of matrix product states
journal, January 2011

Quantum phases of strongly interacting Rydberg atoms in triangular lattices
journal, June 2013

Finite-size scaling in the transverse Ising model on a square lattice
journal, September 2000

Interacting N-vector order parameters with O(N) symmetry
journal, January 2005

  • Pelissetto, A.; Vicari, E.
  • Condensed Matter Physics, Vol. 8, Issue 1
  • DOI: 10.5488/CMP.8.1.87

Observation of a symmetry-protected topological phase of interacting bosons with Rydberg atoms
journal, August 2019

  • de Léséleuc, Sylvain; Lienhard, Vincent; Scholl, Pascal
  • Science, Vol. 365, Issue 6455
  • DOI: 10.1126/science.aav9105

Dynamical Crystallization in the Dipole Blockade of Ultracold Atoms
journal, January 2010

Vison states and confinement transitions of Z 2 spin liquids on the kagome lattice
journal, September 2011

From coherent collective excitation to Rydberg blockade on an atom chip
journal, December 2018

  • de Hond, Julius; van Bijnen, Rick; Kokkelmans, S. J. J. M. F.
  • Physical Review A, Vol. 98, Issue 6
  • DOI: 10.1103/PhysRevA.98.062714

Supersolidity from defect condensation in the extended boson Hubbard model
journal, January 2008

High-Fidelity Control and Entanglement of Rydberg-Atom Qubits
journal, September 2018

Assembling Fibonacci anyons from a Z 3 parafermion lattice model
journal, June 2015

Precision islands in the Ising and O(N ) models
journal, August 2016

  • Kos, Filip; Poland, David; Simmons-Duffin, David
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)036

Quantum phases of hardcore bosons with long-range interactions on a square lattice
journal, August 2012

The density-matrix renormalization group
journal, April 2005

Critical behavior of O ( 2 ) O ( N ) symmetric models
journal, November 2004

  • Calabrese, Pasquale; Parruccini, Pietro; Pelissetto, Andrea
  • Physical Review B, Vol. 70, Issue 17
  • DOI: 10.1103/PhysRevB.70.174439

Vacancy supersolid of hard-core bosons on the square lattice
journal, October 2008

Defect-Free Assembly of 2D Clusters of More Than 100 Single-Atom Quantum Systems
journal, May 2019

Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator
journal, April 2019

From density-matrix renormalization group to matrix product states
journal, October 2007

Critical phenomena and renormalization-group theory
journal, October 2002

Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
journal, August 2019

A Lattice Model of Liquid Helium, I
journal, December 1956

  • Matsubara, Takeo; Matsuda, Hirotsugu
  • Progress of Theoretical Physics, Vol. 16, Issue 6
  • DOI: 10.1143/PTP.16.569

Z 2 gauge theory for valence bond solids on the kagome lattice
journal, November 2015

Application of the renormalization group to phase transitions in disordered systems
journal, February 1976

Finite-size scaling in Hamiltonian field theory
journal, May 1980

Topology of cosmic domains and strings
journal, August 1976

An atom-by-atom assembler of defect-free arbitrary two-dimensional atomic arrays
journal, November 2016

  • Barredo, Daniel; de Léséleuc, Sylvain; Lienhard, Vincent
  • Science, Vol. 354, Issue 6315
  • DOI: 10.1126/science.aah3778

Anisotropic perturbations in three-dimensional O( N )-symmetric vector models
journal, September 2011

Finite size scaling analysis of ising model block distribution functions
journal, June 1981

  • Binder, K.
  • Zeitschrift f�r Physik B Condensed Matter, Vol. 43, Issue 2
  • DOI: 10.1007/BF01293604

Density matrix renormalization group algorithms with a single center site
journal, November 2005

Coherent Many-Body Spin Dynamics in a Long-Range Interacting Ising Chain
journal, December 2017

Multiplicative logarithmic corrections to quantum criticality in three-dimensional dimerized antiferromagnets
journal, December 2015

Periodic Orbits, Entanglement, and Quantum Many-Body Scars in Constrained Models: Matrix Product State Approach
journal, January 2019

Fast Quantum Gates for Neutral Atoms
journal, September 2000

Weak ergodicity breaking from quantum many-body scars
journal, May 2018

Some implications of a cosmological phase transition
journal, December 1980

Synthetic three-dimensional atomic structures assembled atom by atom
journal, September 2018

Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
journal, March 2008

Defect-free atomic array formation using the Hungarian matching algorithm
journal, May 2017

Scaling Theory for Finite-Size Effects in the Critical Region
journal, June 1972

Numerical study of the chiral Z 3 quantum phase transition in one spatial dimension
journal, August 2018

Quantum information processing with superconducting circuits: a review
journal, September 2017

Quasiparticle breakdown in the quasi-one-dimensional Ising ferromagnet CoNb 2 O 6
journal, November 2014