Lu X,
Li Z,
Mangazeev V,
Batchelor M
Hidden symmetry operators for asymmetric generalised quantum Rabi models
Chinese Physics B 31 (2022) 1-4
arXiv:2104.14164v1
Lu X,
Li Z,
Mangazeev V,
Batchelor M
Hidden symmetry in the biased Dicke model
Journal of Physics A: Mathematical and Theoretical 54 (2021)
arXiv:2103.13730v1
Zi-Min Li, Devid Ferri, David Tilbrook, Murray T. Batchelor
Conical Intersections and Geometric Phases in the Asymmetric Quantum Rabi Model
arXiv:2007.11969v4
Li Z,
Ferri D,
Batchelor M
Non-orthogonal qubit states expansion for the asymmetric quantum Rabi model
Physical Review A 103 (2021)
arXiv:2006.08913v3
Li Z,
Batchelor M
Hidden symmetry and tunnelling dynamics in asymmetric quantum Rabi models
Physical Review A 103 (2021)
arXiv:2007.06311v1
Adderton R,
Batchelor M,
Wedrich P
A coupled Temperley-Lieb algebra for the superintegrable chiral Potts chain
Journal of Physics A: Mathematical and Theoretical 53 (2020) 1-10
arXiv:2004.10392v2
Liu Z,
Henry R,
Batchelor M,
Zhou H
Some ground-state expectation values for the free parafermion Z(N) spin chain
Journal of Statistical Mechanics: Theory and Experiment 2019 (2019) 1-17
arXiv:1905.08384v3
Guan K,
Li Z,
Dunning C,
Batchelor M
The asymmetric quantum Rabi model and generalised P\"oschl-Teller potentials
Journal of Physics A: Mathematical and Theoretical 51 (2018) 1-16
arXiv:1804.03878v2
Alcaraz F,
Batchelor M
Anomalous bulk behaviour in the free parafermion $Z(N)$ spin chain
Physical Review E 97 (2018) 1-7
arXiv:1802.04453v3
Batchelor M,
Burne R,
Henry B,
Li F,
Paul J
A biofilm and organomineralisation model for the growth and limiting size of ooids
Scientific Reports 8 (2018) 1-9pp
arXiv:1708.04404v2
Batchelor M,
Bazhanov V,
Mangazeev V
Exactly Solved Models and Beyond: a special issue in honour of R J Baxter's 75th birthday
Journal of Physics A: Mathematical and Theoretical 50 (2017) 6pp
arXiv:1608.04899v2
Alcaraz F,
Batchelor M,
Liu Z
Energy spectrum and critical exponents of the free parafermion $Z_N$ spin chain
Journal of Physics A: Mathematical and Theoretical 50 (2017) 1-8
arXiv:1612.02617v2
Dai Y,
Cho S,
Batchelor M,
Zhou H
Entanglement entropy and massless phase in the antiferromagnetic three-state quantum chiral clock model
Physical Review B 95 (2017) -
arXiv:1608.04960v3
Li Z,
Batchelor M
Addendum to `Algebraic equations for the exceptional eigenspectrum of the generalized Rabi model'
Journal of Physics A: Mathematical and Theoretical 48 (2015) -
arXiv:1605.08648v1
Batchelor M,
Foerster A
Yang-Baxter integrable models in experiments: from condensed matter to ultracold atoms
Journal of Physics A: Mathematical and Theoretical 49 (2016) 173001 (22 pp)
arXiv:1510.05810v2
Murray T. Batchelor, Zi-Min Li
Comment on "Comment on "Integrability of the Rabi Model""
arXiv:1510.05244v1
Batchelor M,
Li Z,
Zhou H
Energy landscape and conical intersection points of the driven Rabi model
Journal of Physics A: Mathematical and Theoretical 49 (2016) 1-6
arXiv:1509.06572v2
Li Z,
Batchelor M
Algebraic equations for the exceptional eigenspectrum of the generalised Rabi model
Journal of Physics A: Mathematical and Theoretical 48 (2015) -
arXiv:1506.04038v3
Hai Tao Wang, Sam Young Cho, Murray T. Batchelor
Quantum fidelity approach to detecting quantum phases: revisiting the bond alternating Ising chain
arXiv:1508.01316v1
Batchelor M,
Zhou H
Integrability vs exact solvability in the quantum Rabi and Dicke models
Physical Review A: Atomic, Molecular and Optical Physics 91 (2015)
arXiv:1408.3816v3
Alam I,
Batchelor M
Integrability as a consequence of discrete holomorphicity: loop models
Journal of Physics A: Mathematical and Theoretical 45 (2012)
arXiv:1402.0937v2
Batchelor M
The importance of being integrable: out of the paper, into the lab
International Journal of Modern Physics B 28 (2014) 13
arXiv:1402.3966v2
Guan X,
Batchelor M,
Li C
Fermi gases in one dimension: From Bethe Ansatz to experiments
Reviews of Modern Physics 85 (2013) 1633-1691
arXiv:1301.6446v2
Murray T. Batchelor
The surprising connection between exactly solved lattice models and discrete holomorphicity
arXiv:1211.5850v2
wang M,
Huang J,
Yin X,
Guan X,
Batchelor M
Universal local pair correlations of Lieb-Liniger bosons at quantum criticality
Physical Review A: Atomic, Molecular and Optical Physics 87 (2013)
arXiv:1211.3267v2
Alam I,
Batchelor M
Integrability as a consequence of discrete holomorphicity: the Z_N model
Journal of Physics A: Mathematical and Theoretical 45 (2012)
arXiv:1207.3883v2
Noschang Kuhn C,
Guan X,
Foerster A,
Batchelor M
Quantum criticality of spin-1 bosons in a 1D harmonic trap
Physical Review A: Atomic, Molecular and Optical Physics 86 (2012) 4
arXiv:1111.2375v2
Noschang Kuhn C,
Guan X,
Foerster A,
Batchelor M
Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction
Physical Review A: Atomic, Molecular and Optical Physics 85 (2012)
arXiv:1201.6456v2
Lee J,
Guan X,
Sakai K,
Batchelor M
Thermodynamics, spin-charge separation and correlation functions of spin-1/2 fermions with repulsive interaction
Physical Review B: Condensed Matter and Materials 85 (2012)
arXiv:1104.2352v3
Lee J,
Guan X,
del Campo A,
Batchelor M
The asymptotic Bethe ansatz solution for one-dimensional SU(2) spinor bosons with finite range Gaussian interactions
Physical Review A: Atomic, Molecular and Optical Physics 85 (2012) 013629,1-13
arXiv:1106.1960v2
He P,
Lee J,
Guan X,
Batchelor M,
Wang Y
Thermodynamics and spin-charge separation of one-dimensional strongly repulsive three-component fermions
Journal of Physics A: Mathematical and Theoretical 44 (2011) 405005(19)
arXiv:1105.1570v2
Yin X,
Guan X,
Chen S,
Batchelor M
Quantum criticality and universal scaling of strongly attractive spin-imbalanced Fermi gases in a 1D harmonic trap
Physical Review A: Atomic, Molecular and Optical Physics 84 (2011) 011602 1-4
arXiv:1101.2494v2
Lee J,
Guan X,
Batchelor M
Yang-Yang method for the thermodynamics of one-dimensional multi-component interacting fermions
Journal of Physics A: Mathematical and Theoretical 44 (2011) 1-18
arXiv:1011.0128v2
Yin X,
Guan X,
Batchelor M,
Chen S
Effective super Tonks-Girardeau gases as ground states of strongly attractive multi-component fermions
Physical Review A: Atomic, Molecular and Optical Physics 83 (2011) 1-6
arXiv:1009.5044v2
He P,
Yin X,
Guan X,
Batchelor M,
Wang Y
Analytical thermodynamics of a strongly attractive three-component Fermi gas in one dimension
Physical Review A: Atomic, Molecular and Optical Physics 82 (2010) 15
arXiv:1009.2283v2
Batchelor M,
Foerster A,
Guan X,
Noschang Kuhn C
Exactly solvable models and ultracold Fermi gases
Journal of Statistical Mechanics: Theory and Experiment 2010 (2010) 1-16
arXiv:1011.3259v1
Guan X,
Batchelor M
Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems
Journal of Physics A: Mathematical and Theoretical 44 (2011) 10
arXiv:1010.4842v1
Mangazeev V,
Dudalev M,
Bazhanov V,
Batchelor M
Scaling and universality in the 2D Ising model with a magnetic field
Physical Review E-Statistical, Nonlinear and Soft Matter Physics 81 (2010) 4
arXiv:1002.4234v2
Chen S,
Guan X,
Yin X,
Guan L,
Batchelor M
Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gases
Physical Review A: Atomic, Molecular and Optical Physics 81 (2010) 3
arXiv:0910.1652v2
Guan X,
Lee J,
Batchelor M,
Yin X,
Chen S
Universal Tomonaga-Luttinger liquid phases in one-dimensional strongly attractive SU(N) fermionic cold atoms
Physical Review A: Atomic, Molecular and Optical Physics 82 (2010) 4
arXiv:0912.4568v1
Lee J,
Guan X,
Batchelor M,
Li C
Magnetism of one-dimensional strongly repulsive spin-1 bosons with antiferromagnetic spin exchange interaction
Physical Review A: Atomic, Molecular and Optical Physics 80 (2009) 9
arXiv:0909.2097v1
He J,
Foerster A,
Guan X,
Batchelor M
Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
New Journal of Physics 11 (2009) 1-17
arXiv:0903.2783v2
Guan X,
Batchelor M,
Li C,
Lee J
Unified description of pairing, trionic and quarteting states for one-dimensional SU(4) attractive fermions
Europhysics Letters 86 (2009) 6
arXiv:0904.2269v1
Batchelor M,
Foerster A,
Guan X,
Links J,
Zhou H
Quantum Inverse Scattering Method with anyonic grading
Journal of Physics A: Mathematical and Theoretical 41 (2008) 465201 (13)
arXiv:0807.3197v2
Batchelor M,
Guan X,
Kundu A
One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials
Journal of Physics A: Mathematical and Theoretical 41 (2008) 352002 (8)
arXiv:0805.1770v2
Guan X,
Batchelor M,
Lee J
Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
Physical Review A: Atomic, Molecular and Optical Physics 78 (2008) 023621- 1-10
arXiv:0806.2499v1
Guan X,
Batchelor M,
Li C,
Zhou H
Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions
Physical Review Letters 100 (2008) 200401-1-4
arXiv:0709.1763v3
Guan X,
Batchelor M,
Takahashi M
Ferromagnetic behaviour in the strongly interacting two-component Bose gas
Physical Review A: Atomic, Molecular and Optical Physics 76 (2007) 043617 1-11
arXiv:0707.0613v2
Deutscher N,
Batchelor M
$SLE(\kappa,\rho)$ processes, hiding exponents and self-avoiding walks in a wedge
Journal of Physics A: Mathematical and Theoretical 41 (2008) 035001 (1-10)
arXiv:0709.2002v1
Batchelor M,
Bortz M,
Guan X,
Oelkers N
Exact results for the 1D interacting Fermi gas with arbitrary polarization
Journal of Physics: Conference Series(online) 42 (2006) 5-10
arXiv:cond-mat/0506264v3
Guan X,
Batchelor M,
Li C,
Bortz M
Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
Physical Review B: Condensed Matter and Materials 76 (2007) 085120 1-9
arXiv:cond-mat/0702191v3
Batchelor M,
Guan X,
Oelkers N,
Tsuboi Z
Integrable models and quantum spin ladders: comparison between theory and experiment for the strong coupling ladder compounds
Advances in Physics 56 (2007) 465-543
arXiv:cond-mat/0512489v3
Batchelor M,
Guan X,
He J
Bethe Ansatz for 1D interacting anyons
Journal of Statistical Mechanics: Theory and Experiment P03007 March (2007) 1-20
arXiv:cond-mat/0611450v2
Batchelor M,
Guan X
Fermionization and fractional statistics in the strongly interacting one-dimensional Bose gas
Laser Physics Letters 4 (2007) 77-83
arXiv:cond-mat/0608624v1
Batchelor M,
Guan X
Generalized exclusion statistics and degenerate signature of strongly interacting anyons
Physical Review B: Condensed Matter and Materials 74 (2006) 195121(7)
arXiv:cond-mat/0606353v2
Batchelor M,
Guan X,
Oelkers N
The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
Physical Review Letters 96 (2006) 210402-1-4
arXiv:cond-mat/0603643v3
Batchelor M,
Bortz M,
Guan X,
Oelkers N
Collective dispersion relations for the 1D interacting two-component Bose and Fermi gases
Journal of Statistical Mechanics: Theory and Experiment 3 (2006) 03016
arXiv:cond-mat/0512486v1
M. T. Batchelor, X. W. Guan, N. Oelkers
Theoretical analysis of the double spin chain compound KCuCl_3
arXiv:cond-mat/0511725v1
Oelkers N,
Batchelor M,
Bortz M,
Guan X
Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions
Journal of Physics A: Mathematical and General 39 (2006) 1073-1098
arXiv:cond-mat/0511694v2
Batchelor M,
Bortz M,
Guan X,
Oelkers N
Evidence for the super Tonks-Girardeau gas
Journal of Statistical Mechanics: Theory and Experiment 10 (2005) L10001-1-9
arXiv:cond-mat/0508009v2
M. T. Batchelor, M. Bortz, X. W. Guan, N. Oelkers
Exact results for the 1D interacting mixed Bose-Fermi gas
arXiv:cond-mat/0506478v2
Batchelor M,
Guan X,
Oelkers N,
Li C
The 1D interacting Bose gas in a hard wall box
Journal of Physics A: Mathematical and General 38 (2005) 7787-7806
arXiv:cond-mat/0505550v3
Batchelor M,
Burne R,
Henry B,
Slatyer T
Statistical physics and stromatolite growth: new perspectives on an ancient dilemma
Physica A: Statistical mechanics and its applications 350 (2005) 6-11
arXiv:nlin/0412062v1
Batchelor M,
Guan X,
Dunning C,
Links J
The 1D Bose Gas with Weakly Repulsive Delta Interaction
Journal of the Physical Society of Japan Supplement 74 (2005) 53-56
arXiv:cond-mat/0412645v1
Batchelor M,
Guan X,
Oelkers N,
Foerster A
Thermal and magnetic properties of integrable spin-1 and spin-3/2 chains with applications to real compounds
Journal of Statistical Mechanics: Theory and Experiment 4 (2004) 10017-1-37
arXiv:cond-mat/0409311v1
Batchelor M,
Guan X,
Oelkers N
Thermal and magnetic properties of spin-1 magnetic chain compounds with large single-ion and in-plane anisotropies
Physical Review B: Condensed Matter and Materials 70 (2004) 184408-1-16
arXiv:cond-mat/0409310v1
Batchelor M,
Guan X,
McGuire J
Ground state of one-dimensional bosons with delta interaction: link to the BCS model
Journal of Physics A: Mathematical and General 37 (2004) L497-L504
arXiv:cond-mat/0312386v3
Batchelor M,
Burne R,
Henry B,
Jackson M
A case for biotic morphogenesis of coniform stromatolites
Physica A: Statistical mechanics and its applications 337 (2004) 319-326
arXiv:nlin/0401026v1
Batchelor M,
Guan X,
Oelkers N,
Ying Z
Quantum phase diagram of an exactly solved mixed spin ladder
Journal of Statistical Physics 116 (2004) 571 - 589
arXiv:cond-mat/0309267v1
Batchelor M,
Guan X,
Oelkers N,
Sakai K,
Tsuboi Z,
Foerster A
Exact results for the thermal and magnetic properties of strong coupling ladder compounds
Physical Review Letters 91 (2003) 217202-1-4
arXiv:cond-mat/0309244v1
Batchelor M,
Guan X,
Foerster A,
Zhou H
Note on the thermodynamic Bethe Ansatz approach to the quantum phase diagram of the strong coupling ladder compounds
New Journal of Physics 5 (2003) 107.1-107.9
arXiv:cond-mat/0305633v1
Henry B,
Batchelor M
Random walks on finite lattice tubes
Physical Review E 68 (2003) 016112-1-8
arXiv:math-ph/0305023v1
Batchelor M,
Guan X,
Foerster A,
Tonel A,
Zhou H
Thermodynamic properties of an integrable quantum spin ladder with boundary impurities
Nuclear Physics B 669 (2003) 385-416
arXiv:cond-mat/0305196v1
Maslen M,
Batchelor M,
De Gier J
Magnetization Plateaux in Bethe Ansatz Solvable Spin-S Ladders
Physical Review B 68 (2003) 024418-1-8
arXiv:cond-mat/0302135v1
Batchelor M,
Henry B
Exact solution for random walks on the triangular lattice with absorbing boundaries
Journal of Physics A: Mathematical and General 35 (2002) 5951-5959
arXiv:math-ph/0204003v1
Batchelor M,
De Gier J,
Nienhuis B
The Rotor Model and Combinatorics
International Journal of Modern Physics B 16 (2002) 1883-1889
arXiv:math-ph/0204002v1
M. T. Batchelor, J. de Gier, J. Links, M. Maslen
Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras
arXiv:cond-mat/9911043v1
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